Solution: 7 26/16 as a decimal is 8.63
Methods
First step β Making the fraction improper:
The first step to changing 7 26/16 into a decimal is to change it to an improper fraction. To do that, we need to multiply 7 by 16 and add its product to 26 in the numerator to get: 138/16. Now we will attempt to convert 138/16 to a decimal using the following method:
Explanation using the division method:
One method to convert 138/16 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 138 by the denominator 16:
138 (numerator) Γ· 16 (denominator) = 8.63
And there you go! We got 8.63 as the answer when you convert 7 26/16 (or 138/16) 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 1/49 as a decimal?
What is 3 53/24 as a decimal?
What is 7 89/3 as a decimal?
What is 8 5/14 as a decimal?