Q:

What is 4 21/31 as a decimal?

Accepted Solution

A:
Solution: 4 21/31 as a decimal is 4.68MethodsFirst step – Making the fraction improper:The first step to changing 4 21/31 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 31 and add its product to 21 in the numerator to get: 145/31. Now we will attempt to convert 145/31 to a decimal using the following method:Explanation using the division method:One method to convert 145/31 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 145 by the denominator 31:145 (numerator) ÷ 31 (denominator) = 4.68And there you go! We got 4.68 as the answer when you convert 4 21/31 (or 145/31) 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:What is 2 38/46 as a decimal?What is 10 27/12 as a decimal?What is 33 10/3 as a decimal?What is 5 5/29 as a decimal?