Equivalent Fractions Worksheets

Free Equivalent Fractions Worksheets with Answer Keys

Learning how to identify and solve equivalent fractions can be a tricky math skill, and most students will need lots of consistent practice in order to be successful. Using an Equivalent Fractions Worksheet or two with your child at home or with your students in the classroom is a great way to give young learners the practice and feedback that they need to learn this important skill.

So, if you are looking for free Equivalent Fractions Worksheets (with complete answer keys), then you are in the right place! Below, you will find our free mini-library of equivalent fractions worksheets that includes a variety of ways to practice how to understand, visualize, and solve problems involving equivalent fractions.

Each equivalent fractions worksheet can be downloaded as a PDF file that you can save to your computer for digital access or print out on paper like a typical math worksheet. To download a worksheet, simply click on any of the blue text links below to open the PDF preview page for that specific worksheet. From there, you can preview the practice problems (located on the first page of the worksheet) and the answer key (located on the second page of the worksheet). From the preview page, you will have the option to save the file and/or send it to your printer.

Every free equivalent fractions worksheet below is a sample from the Mashup Math K-12 Infinite Worksheet Libraries, where you can access and download hundreds of topic-specific math practice worksheets and answer keys for grades K-9, Algebra I, and Geometry.

Equivalent Fractions Worksheets

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If so, please visit our Free Math Worksheets Library, where you can download hundreds of PDF math worksheets and answer keys for Grades K-9, Algebra I, and Geometry!

Equivalent Fractions: Quick Review

Are you struggling with some of the problems in an equivalent fractions worksheet from the library above?

If so, here is a quick review of some of the key points related to equivalent fractions.

In math, fractions are called equivalent when they equal the same value, but do not have the same numbers in the numerator and the denominator.

For example, 5/10 and 1/2 are equivalent fractions because they both equal “one-half.”

Additionally, there are many other fractions that would also be equivalent to 1/2 (besides 5/10), including: 2/4, 3/6, 7/14, 25/50, etc.

How do you know if two or more fractions are equivalent?

You can determine whether or not one fraction is equivalent to another by finding a number that you can multiply/divide the numerator of the first fraction by numerator of the second fraction AND the denominator of the first fraction by denominator of the second fraction and get the same result.

For example, if you are wondering if 2/3, 4/6, and 8/12 are equivalent fractions, you could see that taking 2/3 and multiplying its numerator and denominator by 2 will result in 4/6. You could then repeat this process and multiply the numerator and denominator of 4/6 by 2 and the result would be 8/12.

So, you could conclude that 2/3, 4/6, and 8/12 are all equivalent fractions. This concept is illustrated in Figure 01 below.

From a visual perspective, we can use circle diagrams to illustrate what is meant by equivalent fractions, which is a very helpful practice for students when it comes to developing a true conceptual understanding of what it means for two or more fractions to be equivalent to each other.

For example, let’s again consider the fractions 2/3, 4/6, and 8/12.

Each of these fractions can be reduced to “two-thirds” of one whole. If we used a full circle to represent one whole, we could represent these fractions visually as follows:

• 2/3: The circle is divided into 3 equal sections with 2 of them shaded in.

• 4/6: The circle is divided into 6 equal sections with 4 of them shaded in.

• 8/12: The circle is divided into 12 equal sections with 8 of them shaded in.

Even though each circle is divided into a different number of sections (the denominator of the fraction will determine this number), the shaded area of each circle will have the same area, as shown in Figure 02 below.

If you and your students prefer these types of visual strategies for practicing and learning how to work with equivalent fractions, check out our free colorful PDF equivalent fraction chart, which you can print and give to your students to use as a reference sheet when they are first learning about equivalent fractions.

The colorful chart, which is preview in Figure 03 below, will help your students to identify equivalent fraction relationships and to actually learn to understand the conceptual meaning of fractions being equivalent (beyond the procedural skills associated with this topic), which will allow them to be more successful in higher levels of mathematics in the future.