Solution: 5 3/26 as a decimal is 5.12
Methods
First step – Making the fraction improper:
The first step to changing 5 3/26 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 26 and add its product to 3 in the numerator to get: 133/26. Now we will attempt to convert 133/26 to a decimal using the following method:
Explanation using the division method:
One method to convert 133/26 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 133 by the denominator 26:
133 (numerator) ÷ 26 (denominator) = 5.12
And there you go! We got 5.12 as the answer when you convert 5 3/26 (or 133/26) 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 33/40 as a decimal?
What is 3 23/34 as a decimal?
What is 4 64/13 as a decimal?
What is 3 52/23 as a decimal?