Solution: 4 5/23 as a decimal is 4.22
Methods
First step – Making the fraction improper:
The first step to changing 4 5/23 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 23 and add its product to 5 in the numerator to get: 97/23. Now we will attempt to convert 97/23 to a decimal using the following method.
Explanation using the division method:
A fraction is written in terms of two parts: the number on top is called the numerator and the number on the bottom is called the denominator. We can use the division method to solve this question. To get a decimal, simply divide the numerator 97 by the denominator 23:
97 (numerator) ÷ 23 (denominator) = 4.22
As a result, you get 4.22 as your answer when you convert 4 5/23 (or 97/23) to a decimal.
Convert some more fractions to decimals!
Practice some more problems on converting fractions to decimals:
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What is 4 49/8 as a decimal?
What is 1 97/21 as a decimal?
What is 2 31/49 as a decimal?