Solution: 4 9/26 as a decimal is 4.35
Methods
First step – Making the fraction improper:
The first step to changing 4 9/26 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 26 and add its product to 9 in the numerator to get: 113/26. Now we will attempt to convert 113/26 to a decimal using the following method:
Explanation using the division method:
One method to convert 113/26 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 113 by the denominator 26:
113 (numerator) ÷ 26 (denominator) = 4.35
And there you go! We got 4.35 as the answer when you convert 4 9/26 (or 113/26) 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 3 4/25 as a decimal?
What is 2 26/48 as a decimal?
What is 2 41/19 as a decimal?
What is 5 5/22 as a decimal?