Solution: 13 14/8 as a decimal is 14.75
Methods
First step β Making the fraction improper:
The first step to changing 13 14/8 into a decimal is to change it to an improper fraction. To do that, we need to multiply 13 by 8 and add its product to 14 in the numerator to get: 118/8. Now we will attempt to convert 118/8 to a decimal using the following method:
Explanation using the division method:
One method to convert 118/8 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 118 by the denominator 8:
118 (numerator) Γ· 8 (denominator) = 14.75
And there you go! We got 14.75 as the answer when you convert 13 14/8 (or 118/8) 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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What is 1 8/22 as a decimal?
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What is 11 11/8 as a decimal?