Solution: 4 49/14 as a decimal is 7.5
Methods
First step – Making the fraction improper:
The first step to changing 4 49/14 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 14 and add its product to 49 in the numerator to get: 105/14. Now we will attempt to convert 105/14 to a decimal using the following method:
Explanation using the division method:
One method to convert 105/14 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 105 by the denominator 14:
105 (numerator) ÷ 14 (denominator) = 7.5
And there you go! We got 7.5 as the answer when you convert 4 49/14 (or 105/14) 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 13 19/9 as a decimal?