What is 5 35/13 as a decimal?

Solution: 5 35/13 as a decimal is 7.69

Methods

First step – Making the fraction improper:

The first step to changing 5 35/13 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 13 and add its product to 35 in the numerator to get: 100/13. Now we will attempt to convert 100/13 to a decimal using the following method:

Explanation using the division method:

One method to convert 100/13 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 100 by the denominator 13:

100 (numerator) ÷ 13 (denominator) = 7.69

And there you go! We got 7.69 as the answer when you convert 5 35/13 (or 100/13) 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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