Solution: 3 13/44 as a decimal is 3.3
Methods
First step – Making the fraction improper:
The first step to changing 3 13/44 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 44 and add its product to 13 in the numerator to get: 145/44. Now we will attempt to convert 145/44 to a decimal using the following method:
Explanation using the division method:
One method to convert 145/44 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 44:
145 (numerator) ÷ 44 (denominator) = 3.3
And there you go! We got 3.3 as the answer when you convert 3 13/44 (or 145/44) 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 8 3/16 as a decimal?
What is 1 108/24 as a decimal?
What is 2 55/31 as a decimal?
What is 2 13/10 as a decimal?