Solution: 3 77/16 as a decimal is 7.81
Methods
First step – Making the fraction improper:
The first step to changing 3 77/16 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 16 and add its product to 77 in the numerator to get: 125/16. Now we will attempt to convert 125/16 to a decimal using the following method:
Explanation using the division method:
One method to convert 125/16 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 125 by the denominator 16:
125 (numerator) ÷ 16 (denominator) = 7.81
And there you go! We got 7.81 as the answer when you convert 3 77/16 (or 125/16) 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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