.87 Fraction Equivalent

When studying math, you will often deal with both fractions and decimals, which can be expressed in various forms. This variation can be confusing, but it’s important to remember that each form is a different way of expressing the same value. The ability to understand values in both fraction and decimal form (and how to convert between them) is an important math skill for students of all grade levels. In this short guide, you will learn what is the .87 fraction equivalent.

Answer: The .87 fraction equivalent is 87/100

Note that the answer is in simplest form.

Now, let’s explore why 0.87 as a fraction is 87/100

Why does 0.87 as a fraction equal 87/100? How to Convert .87 into Fraction Form:

You can start by determining the place value of the decimal’s final digit to the far right of the decimal point. For 0.87, the final digit’s value is 7, which is in the hundredths (1/100) place value slot.

If you are confused about determining the place value slot, you can use a place value chart as follows:

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

Moving on, the second step is to write the .87 as a fraction over one as follows:

0.87/1

The next step is to multiply the top and bottom by the place value slot of the final digit, which was the hundredths in this example—so multiply both the numerator and the denominator by 100 as follows:

(0.87 x 100) / (1 x 100) = 87/100

Now, you have concluded that the .87 fraction equivalent is 87/100. But how do you know if this fraction is in simplest form?

The fraction 87/100 can NOT be reduced because:

Whenever you want to see if a fraction is already in simplest form, you have to see if you both the numerator and denominator share a GCF (Greatest Common Factor) that isn’t the number 1.

If they do share a GCF, then you can reduce the fraction by dividing both the numerator and denominator by the GCF to get the fraction in simplest form.
If they do not share a GCF, then the fraction is already in simplest form and can not be reduced any further.

To see if 87/100 can be reduced, list the factors of both 87 and 100 as follows: