Solution: 1 100/31 as a decimal is 4.23
Methods
First step – Making the fraction improper:
The first step to changing 1 100/31 into a decimal is to change it to an improper fraction. To do that, we need to multiply 1 by 31 and add its product to 100 in the numerator to get: 131/31. Now we will attempt to convert 131/31 to a decimal using the following method:
Explanation using the division method:
A fraction is usually split into two parts: the first part is the number on top, called the numerator; and the second part is the number on the bottom, called the denominator. These are both separated by a line called the “divisor line”. We can use the division method help to solve this question: to get a decimal, simply divide the numerator 131 by the denominator 31 (which you can enter in any calculator):
131 (numerator) ÷ 31 (denominator) = 4.23
And finally, you get 4.23 as your answer when you convert 1 100/31 (or 131/31) to a decimal.
Practice more conversion 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 5 3/25 as a decimal?
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What is 3 1/47 as a decimal?