Solution: 1 69/16 as a decimal is 5.31
Methods
First step – Making the fraction improper:
The first step to changing 1 69/16 into a decimal is to change it to an improper fraction. To do that, we need to multiply 1 by 16 and add its product to 69 in the numerator to get: 85/16. Now we will attempt to convert 85/16 to a decimal using the following method:
Explanation using the division method:
One method to convert 85/16 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 85 by the denominator 16:
85 (numerator) ÷ 16 (denominator) = 5.31
And there you go! We got 5.31 as the answer when you convert 1 69/16 (or 85/16) 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 3 1/25 as a decimal?
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What is 4 47/16 as a decimal?