Solution: 5 7/21 as a decimal is 5.33
Methods
First step – Making the fraction improper:
The first step to changing 5 7/21 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 21 and add its product to 7 in the numerator to get: 112/21. Now we will attempt to convert 112/21 to a decimal using the following method:
Explanation using the division method:
A fraction is usually split into two parts: the first part is the number on top, called the numerator; and the second part is the number on the bottom, called the denominator. These are both separated by a line called the “divisor line”. We can use the division method help to solve this question: to get a decimal, simply divide the numerator 112 by the denominator 21 (which you can enter in any calculator):
112 (numerator) ÷ 21 (denominator) = 5.33
And finally, you get 5.33 as your answer when you convert 5 7/21 (or 112/21) to a decimal.
Practice more conversion 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 1 73/50 as a decimal?
What is 2 53/10 as a decimal?
What is 1 11/32 as a decimal?
What is 14 10/9 as a decimal?