What is 21 46/3 as a decimal?

Solution: 21 46/3 as a decimal is 36.33

Methods

First step – Making the fraction improper:

The first step to changing 21 46/3 into a decimal is to change it to an improper fraction. To do that, we need to multiply 21 by 3 and add its product to 46 in the numerator to get: 109/3. Now we will attempt to convert 109/3 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 109 by the denominator 3 (which you can enter in any calculator):

109 (numerator) ÷ 3 (denominator) = 36.33

And finally, you get 36.33 as your answer when you convert 21 46/3 (or 109/3) 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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