Solution: 6 9/21 as a decimal is 6.43
Methods
First step – Making the fraction improper:
The first step to changing 6 9/21 into a decimal is to change it to an improper fraction. To do that, we need to multiply 6 by 21 and add its product to 9 in the numerator to get: 135/21. Now we will attempt to convert 135/21 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 135 by the denominator 21 (which you can enter in any calculator):
135 (numerator) ÷ 21 (denominator) = 6.43
And finally, you get 6.43 as your answer when you convert 6 9/21 (or 135/21) 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:
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What is 3 9/46 as a decimal?
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What is 6 30/20 as a decimal?