Solution: 4 21/24 as a decimal is 4.88
Methods
First step β Making the fraction improper:
The first step to changing 4 21/24 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 24 and add its product to 21 in the numerator to get: 117/24. Now we will attempt to convert 117/24 to a decimal using the following method:
Explanation using the division method:
One method to convert 117/24 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 117 by the denominator 24:
117 (numerator) Γ· 24 (denominator) = 4.88
And there you go! We got 4.88 as the answer when you convert 4 21/24 (or 117/24) 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 42/5 as a decimal?
What is 4 28/21 as a decimal?
What is 2 12/40 as a decimal?
What is 12 26/7 as a decimal?