Solution: 3 44/32 as a decimal is 4.38
Methods
First step – Making the fraction improper:
The first step to changing 3 44/32 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 32 and add its product to 44 in the numerator to get: 140/32. Now we will attempt to convert 140/32 to a decimal using the following method:
Explanation using the division method:
One method to convert 140/32 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 140 by the denominator 32:
140 (numerator) ÷ 32 (denominator) = 4.38
And there you go! We got 4.38 as the answer when you convert 3 44/32 (or 140/32) 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 3 117/4 as a decimal?
What is 1 129/21 as a decimal?
What is 4 25/29 as a decimal?
What is 5 15/25 as a decimal?