What is 135 138/160 as a decimal?

There are different ways to represent the same number: fractions, decimals, and even percentages. In this particular guide, let’s explore how we can use the division method to convert 135 138/160 to a decimal.

Solution: 135 138/160 as a decimal is 135.86

Methods

First step – Making the fraction improper:

The first step to changing 135 138/160 into a decimal is to change it to an improper fraction. To do that, we need to multiply 135 by 160 and add its product to 138 in the numerator to get: 21738/160. Now we will attempt to convert 21738/160 to a decimal using the following method:

Explanation using the division method:

One method to convert 21738/160 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 21738 by the denominator 160:

21738 (numerator) ÷ 160 (denominator) = 135.86

And there you go! We got 135.86 as the answer when you convert 135 138/160 (or 21738/160) to a decimal.

Practice more problems!

All it takes to be better at something is some practice! Take a look at some more similar problems on converting fractions to decimals and give them a go:

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