What is .375 as a fraction?

In math, decimal values and fraction values can be expressed in many different ways, but, no matter how they are expressed, equivalent decimals and fractions always represent the same value. Learning how to rapidly and correctly express decimals like .375 as fractions is a very practical and useful math skill that all students should have. In this short post, you will learn what is .375 as a fraction.

Answer: .375 as a fraction equals 3/8

Now that you know that .375 as a fraction is 3/8, you can understand why:

Why does .375 equal 3/8?

Step one is to determine the final digit’s (to the right of the decimal point) place value. In this example, the final digit is 5, which is in the thousandths place value slot (1/1,000).

You can use a place value chart to help you to figure out the place value of the last digit.

Want to learn how convert decimals to fractions on your own? Click here to access our free guide How to Convert a Decimal to a Fraction in 3 Easy Steps

Step two is to write the .375 as a fraction with a denominator of 1 as follows:

0.375/1

Next, multiply both the numerator and the denominator by that final place value slot, which was the thousandths (multiply the numerator and the denominator by 1,000).

(0.375 x 1,000) / (1 x 1,000) = 375/1,000

Now, you have a fraction that is equivalent to .375. While .375 does equal 375/1000 as a fraction, this result is not yet in simplest form.

The fraction 375/1000 can be reduced down to 3/8. Here’s how:

To express the fraction 375/1000 in simplest form, you will have to determine the Greatest Common Factor (often referred to as GCF) for both 375 and 1000. Note that a factor is any number that divides into another number without a remainder.

Continue by listing the factors of both 14 and 1,000 as follows:

• Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375

• Factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

See that the Greatest Common Factor for both 375 and 1,000 is 125

The last step is to divide both the numerator and the denominator of 375/1000 by the 125 (the GCF):

(375 ÷ 125) / (1000÷ 125) = 3/8

Conclusion: .375 as a fraction equals 3/8

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