Decimal to Fraction: 3 Easy Steps

Decimal to Fraction: Everything You Need to Know

Are you ready to learn how to convert a decimal to fraction?

(and if you’re looking to learn how to convert a fraction to a decimal, click here)

Before you learn an easy way to complete both of these conversions (with and without a calculator), let’s make sure that you understand what decimals and fractions are:

•  A decimal number is used to represent a non-whole number where a decimal point is used followed by digits that represent a value that is smaller than one.

• A fraction represents a part of a whole number. A fraction is a ratio between the upper number (the numerator) and the lower number (the denominator). The numbers are stacked vertically and separated with a bar.

The key takeaway from these definitions is that decimals and fractions are different ways of representing the same thing—a number that is not whole.

How to Convert Decimal to Fraction

You can convert a decimal to a fraction by following these three easy steps.

In this case, you will use the decimal 0.25 as an example (see the graphic below).

Step One: Rewrite the decimal number over one (as a fraction where the decimal number is the numerator and the denominator is one).

Step Two: Multiply both the numerator and the denominator by 10 to the power of the number of digits after the decimal point. If there is one value after the decimal, multiply by 10, if there are two then multiply by 100, if there are three then multiply by 1,000, etc.

In the case of converting 0.25 to a fraction, there are two digits after the decimal point. Since 10 to the 2nd power is 100, we have to multiply both the numerator and denominator by 100 in step two.

Step Three: Express the fraction in simplest (or reduced form).

If you need more help with simplifying fractions, check out this free video lesson.

By following these three steps in the above decimal to fraction example, you can conclude that the decimal 0.25, when converted to a fraction, is equal to 1/4.

Here is another example of how to convert a decimal to fraction:

Notice that the answer to this example is a mixed number (a whole number and a fraction combined).

Decimal to Fraction Calculator

Screenshot of www.calculatorsoup.com

If you need a fast and easy way to convert a decimal to a fraction, then you can take advantage of the many free online decimal to fraction conversion calculators that are available.

This free decimal to fraction calculator from www.calculatorsoup.com not only performs the conversion, but also shows the calculations (using the three step method shown above), which is a handy tool since it will not only help you find a correct answer, but also understand the process as well.

To use the decimal to fraction calculator, simply input the decimal value and press calculate. Depending on the value that you input, the calculator will convert the decimal to a fraction or a mixed number.

There is also a repeating decimal to fraction calculator (follow the instructions on the webpage to perform this function).

Are you looking to learn more about working with decimals and understanding place value? Click here for more free resources

Decimal to Fraction Worksheet

Do you need more practice with learning how to convert a decimal to a fraction? The following decimal to fraction worksheet and answer key will give you plenty of opportunities to apply the three step process to converting a decimal to a fraction.

Click here to download your free Decimal to Fraction Worksheet with Answers.

And if you are looking for a more in-depth lesson on how to convert decimal to fraction, check out this free decimal to fraction video lesson:

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Free Decimal to Fraction Chart (PDF)

Looking for a Useful Decimal to Fraction Chart for Making Conversions?

Click here to download your free printable Decimal to Fraction Conversion Chart.

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More Free Decimals and Fractions Resources

• How to Convert a Fraction to a Decimal

• Video Lesson: Scientific Notation Explained

• Free PDF Math Worksheets (with Answers)

• Activity: Here’s an Awesome Way to Teach Kids Fractions

Read More Posts About Math Education:

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Share your ideas, questions, and comments below!

(Never miss a Mashup Math blog--click here to get our weekly newsletter!)

By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math . You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.

4th Grade Math Word Problems: Free Worksheets with Answers

Free Multi-Step 4th Grade Math Word Problems PDF

Are you looking for engaging multi-step 4th grade math word problems with answers to add to your upcoming lesson plans? The following collection of free 4th grade maths word problems worksheets cover topics including addition, subtraction, multiplication, division, mixed operations, fractions, and decimals.

Students need to gain a strong understanding of place value in order to understand the relationship between digits and how these relationships apply to operations including addition, subtraction, multiplication, division, and more.

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Mixed Addition and Subtraction 4th Grade Math Word Problems (PDF Download)

Click the link below to download your free 4th grade mixed addition and subtraction PDF worksheet and answer key.

Looking for more free 4th grade math worksheets? Click here to access our full PDF library.

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Mixed Multiplication and Division 4th Grade Math Word Problems (PDF Download)

Click the link below to download your free 4th grade mixed multiplication and division PDF worksheet and answer key.

Looking for more free 4th grade math worksheets? Click here to access our full PDF library.

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Adding and Subtracting Fractions 4th Grade Math Word Problems (PDF Download)

Click the link below to download your free 4th grade adding and subtracting fractions PDF worksheet and answer key.

Looking for more free 4th grade math worksheets? Click here to access our full PDF library.

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Multiply Fractions 4th Grade Math Word Problems (PDF Download)

Click the link below to download your free 4th grade multiplying fractions PDF worksheet and answer key.

Looking for more free 4th grade math worksheets? Click here to access our full PDF library.

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Add and Subtract Decimals 4th Grade Math Word Problems (PDF Download)

Click the link below to download your free 4th grade adding and subtracting decimals PDF worksheet and answer key.

Looking for more free 4th grade math worksheets? Click here to access our full PDF library.

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Other 4th Grade Math Resources You Should Check Out:

• This New Warm-Up Activity is a Game Changer (and a Time Saver!)

• Check Out This Awesome Mean, Median, and Mode Activity!

• How to Teach Multiplication Using Area Models

• 10 Super Fun Math Riddles for Kids (with Answers)

Do you have any questions or anything to add? Share your thoughts in the comments below.

(Never miss a Mashup Math blog--click here to get our weekly newsletter!)

By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math . You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.

Easy Guide: Writing Numbers in Expanded Form with Decimals

Writing Numbers in Expanded Form (with Decimals)

When you write a number in expanded form (also known as expanded notation), you are expressing the number separated into its composite individual place values (and decimal values if necessary) in the form of an expression.

An easy way of thinking about writing numbers in expanded form is taking apart a number into its specific place values. The place value chart below is a good review of the value of each number slot.

Conversely, writing a number in standard form (or numeric form) is the opposite or reverse of writing a number in expanded form.

Click here to download this chart as an easy-to-print PDF file.

Writing a Number in Expanded Form Example

Example: Write 8,743 in expanded form

8,743 = 8,000 + 700 + 40 + 3

Note how the use of a place value chart can help you write numbers in expanded form.

Writing a Number in Expanded Form with Decimals Example

Example: Write 317.29 in expanded form.

317.29 = 300 + 10 + 7 + 0.2 + 0.09

This strategy applies to all problems that require you to read or write numbers in expanded form.

Check out the free video lesson below to learn more about how to write numbers in standard form with decimals and without.

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Share your ideas, questions, and comments below!

(Never miss a Mashup Math blog--click here to get our weekly newsletter!)

By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math . You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.

10 Super Fun Math Riddles for Kids! (with Answers)

10 Super Fun Math Riddles and Puzzles for Kids Ages 10+ (Answers Included!)

A Post By: Anthony Persico

Some have been around for centuries, while are others are brand spanking new—but all have been selected as the most fun and engaging math riddles for those who love to challenge their problem-solving skills and have fun solving math puzzles. Enjoy!

The Educational Value of Math Riddles:

Fun and engaging math riddles and logic puzzles are an amazing way to get students to think critically, develop problem-solving skills, and think about mathematics in a creative way!

In fact, several recent studies have shown that students who work on math puzzles—with and without teacher supervision—improve their math problem-solving skills, learning abilities, and willingness to stick with challenging problems, according to Edutopia.

And if you are looking for a collection of super fun, challenging, and sometimes silly math riddles and brain teasers for kids, then it’s time to put your brain to the test!

Note that the following math riddles are best suited for kids ages and older and they are also fun for high school students and adults!

Are YOU ready?

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10 Super Fun Math Riddles for Kids:

Each of the following math riddles includes an image graphic and there is an answer key at the end!

But if you want more detailed explanations of how to answer every riddle, check out the Math Riddles Explained! video link below and be sure to give it a thumbs up!

Watch the Math Riddles Video:

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Free Worksheet Included!

There is also a link to download a Free Printable PDF Math Riddles Worksheet and Answer Key that shares all of these riddles at the end of this post!

All of the math riddles, puzzles, and brain teasers below are from the best-selling 101 Math Riddles, Puzzles, and Kids Ages 10+! PDF workbook, which is now available!

10 Awesome Maths Riddles and Brain Teasers for Kids:

Math Riddle #1: Truth or Square?

Keep reading to the bottom of this page to see the answer key AND click here to see a detailed explanation of how to solve Truth or Square?

Would you like FREE math resources in your inbox every day? Click here to sign up for my free math education email newsletter (and get a free math eBook too!)

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Math Riddle #2: How Old Is Lucy?

Keep reading the bottom of this page to see the answer key AND click here to see a detailed explanation of how to solve How Old is Lucy?

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Math Riddle #3: Triple Threat

Keep reading to the bottom of this page to see the answer key AND click here to see a detailed explanation of how to solve Triple Threat!

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Are you looking for more super fun Math Riddles, Puzzles, and Brain Teasers to share with your kids?

The best-selling workbook 101 Math Riddles, Puzzles, and Brain Teasers for Kids Ages 10+! is now available as a PDF download. You can get yours today by clicking here.

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Math Riddle #4: Matchstick Mayhem

Keep reading to the bottom of this page to see the answer key AND click here to see a detailed explanation of how to solve Matchstick Mayhem!

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Math Riddle #5: The In-Between

Keep reading to the bottom of this page to see the answer key AND click here to see a detailed explanation of how to solve The In-Between!

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Math Riddle #6: Which Weighs More?

Keep reading to the bottom of this page to see the answer key AND click here to see a detailed explanation of how to solve Which Weighs More?

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Math Riddle #7: Big Spender!

Keep reading to the bottom of this page to see the answer key AND click here to see a detailed explanation of how to solve Big Spender!

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Math Riddle #8: Mystery Parking!

Keep reading to the bottom of this page to see the answer key AND click here to see a detailed explanation of how to solve Mystery Parking!

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Math Riddle #9: Cuppla’ Coins

Keep reading to the bottom of this page to see the answer key AND click here to see a detailed explanation of how to solve Cuppla’ Coins!

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Math Riddle #10: Pascal’s Triangle

Keep reading to the bottom of this page to see the answer key AND click here to see a detailed explanation of how to solve Pascal’s Triangle!

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Math Riddle #11: Bonus!

Keep reading to the bottom of this page to see the answer key AND click here to see a detailed explanation of how to solve the Bonus Riddle!

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ANSWER KEY:

1. 14 Total Squares (detailed explanation)

2. Lucy is 37 (detailed explanation)

3. 1, 2, and 3 (detailed explanation)

4. 0+4=4 or 5+4=9 (detailed explanation)

5. A Decimal Point (detailed explanation)

6. Neither. They both weigh the same! (detailed explanation)

7. The hoodie costs $125, the shoes cost $25 (detailed explanation)

8. 87 (flip the image upside down) - (detailed explanation)

9. One is a quarter and one is a nickel (detailed explanation)

10. 6 (detailed explanation)

11. 1, 5, 10, 10, 5, 1 (detailed explanation)

Free PDF Worksheet:

Click here to get your Free Math Riddles PDF Worksheet and Answer Key!

And click here to sign up for our math education mailing list to start getting free K-12 math activities, puzzles, and lesson plans in your inbox every week!

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Are you looking for more super fun Math Riddles, Puzzles, and Brain Teasers to share with your kids?

My best-selling workbook 101 Math Riddles, Puzzles, and Brain Teasers for Kids Ages 10+! is now available as a PDF download. You can get yours today by clicking here.

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Did I miss your favorite math riddle for kids? Share your thoughts, questions, and suggestions in the comments section below!

(Never miss a Mashup Math blog--click here to get our weekly newsletter!)

By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math and an advisor to Amazon Education's 'With Math I Can' Campaign. You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.

You Might Also Like…

10 Awesome End of Year Math Activities for Grades 1-8

Looking for Effective and Easy End of Year Math Activities?

The final weeks of the school year have arrived and keeping your students engaged in learning math is no easy task.

You can mix up your instruction and keep your students interested in learning math by incorporating a few awesome end of year math activities and projects into your upcoming lesson plans.

The following end of year math activity ideas are perfect for implementing during the final weeks of the school year, an extremely hectic time when sticking to your usual routine is nearly impossible.

And each end of year math activity is easy to modify to best meet the needs of your students! The activities can be modified for students at the elementary, middle, and high school levels.

So, which end of year math activity will you share with your students this spring?

(Tags: end of year math projects, end of year math activities, 1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade, 6th grade, 7th grade, 8th grade, grade 1, grade 2, grade 3, grade 4, grade 5, grade 6, grade 7, grade 8)

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1.) Math Book Report

Description: Standard math curriculums hardly ever make time for students to actually read about math. The end of the school year is the perfect time to give your students an opportunity to choose a book about math and create and share a book report.

One option is to have your students research a famous mathematician. I also like having students choose a math-related fiction book, like any of the ones included on this list of 13 STEM Fiction Books Your Kids Will Love.

Image Source: Mashup Math MJ.

There are tons of excellent math-fiction books available for students of all grade levels.

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2.) Tessellation Project

by GeometryCoach.com

Description: This project blends elements of the history of math, geometry, and art/design into an engaging learning experience where students use mathematical thinking to manipulate shapes to create “Escher tiles” and use them to create geometric works of art!

Image Source: Mashup Math MJ

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3.) Barbie Bungee

Description: The Barbie Bungee data collection activity may be the most underrated math activity ever. Ideal for pre-algebra students, this activity gives students a fun and engaging opportunity to make predictions, collect real-world data, and then analyze the results within the context of their initial hypothesis. This activity is even endorsed by the National Council of Teachers of Mathematics (NCTM), who share free lesson resources for any teacher interested in trying the Barbie Bungee in their classroom.

Image Source: Mashup Math MJ

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4.) Escape Room!

Description: Classroom ‘escape room’ lessons are growing in popularity. Why? Because classroom escape rooms boost student excitement and engagement while helping your kids apply and improve their mathematical problem-solving skills.

If you are new to the idea of classroom escape rooms (sometimes called breakout challenges), check out this blog post So You Want to Build a Classroom Escape Room… by We Are Teachers.

Image Source: Mashup Math MJ

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5.) The Parachute Project

by Amy at www.allabout3rdgrade.com

Description: Students use their math skills to design and build a parachute that will stay in the air the longest. This STEM activity is a great opportunity for math and science teachers to collaborate—and it’s a great activity to do outdoors!

Image Source: Mashup Math FP

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Are YOU looking for some super fun daily math puzzles for your students in grades 3-8? Our best-selling 101 Daily Math Challenges workbook is now available as a PDF download!

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6.) Plan and Budget Your Dream Vacation

by Jennifer at www.loveteachingkids.com

Description: Students are given a budget and have to work groups to plan all aspects of their determined “dream vacation.” This end of year math activity allows students to learn more about budgeting, personal finance, and real-world math applications. Aside from vacation planning, this activity can be modified to budgeting things like personal finances, events, starting a business, etc.

Image Source: Mashup Math FP

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7.) Build Fraction Kits

by Anthony at www.youtube.com/mashupmath

Description: Many students struggle with fractions and never really grasp the important concepts. Whether you want to help fortify your students’ understanding of fractions before the school year ends or you want to expose them to fractions a little early, this simple hands-on activity is highly effective and is definitely worth giving a shot!

Click here to get your Free Fraction Kit Lesson Guide!

Image Source: Mashup Math ST

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8.) Area and Perimeter Architecture

Description: Students explore and apply the concepts of area and perimeter by building a city using LEGO bricks! This hands-on activity is another great example of how math teachers can use LEGO to teach challenging concepts.

If you don’t have access to Lego bricks, check out this free STEM: Area and Perimeter City activity guide by teachbesideme.com.

Image Source: Mashup Math MJ

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“I always look forward to getting my Mashup Math newsletter email every week. I love the free activities!”

-Christina R., 5th Grade Math Teacher, Dallas, TX

Do YOU want free math resources, lesson activities, and puzzles and games for grades 1-8 in your inbox every week? Join our mailing list and start getting tons of free stuff (including a free PDF workbook)!

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9.) Year End Reflection Activity

Description: In this activity, students take time to reflect on what they learned in math this past school year, what challenges they overcome, and how they’ve grown as problem solvers. This activity is perfect for teachers who have students complete a math portfolio over the course of the school year.

Image Source: Mashup Math MJ

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10.) Math Puzzles and Brain Teasers

Description: The end of the school year is a great time to let your students apply their mathematical problem-solving skills to fun puzzles, brain teasers, and challenge questions.

You can access dozens of free math puzzles for all grade levels by visiting our Free Math Puzzles page.

Image Source: Mashup Math ST

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Have any more ideas for awesome end-of-year math project ideas? Share your thoughts in the comments section below!

(Never miss a Mashup Math blog--click here to get our weekly newsletter!)

By Anthony Persico

Anthony is the content crafter and head educator for YouTube's MashUp Math and an advisor to Amazon Education's 'With Math I Can' Campaign. You can often find me happily developing animated math lessons to share on my YouTube channel . Or spending way too much time at the gym or playing on my phone.