Solution: 3 13/45 as a decimal is 3.29
Methods
First step β Making the fraction improper:
The first step to changing 3 13/45 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 45 and add its product to 13 in the numerator to get: 148/45. Now we will attempt to convert 148/45 to a decimal using the following method:
Explanation using the division method:
One method to convert 148/45 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 148 by the denominator 45:
148 (numerator) Γ· 45 (denominator) = 3.29
And there you go! We got 3.29 as the answer when you convert 3 13/45 (or 148/45) 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 67/35 as a decimal?
What is 2 45/27 as a decimal?
What is 3 4/46 as a decimal?
What is 4 9/11 as a decimal?