Solution: 10 82/5 as a decimal is 26.4
Methods
First step – Making the fraction improper:
The first step to changing 10 82/5 into a decimal is to change it to an improper fraction. To do that, we need to multiply 10 by 5 and add its product to 82 in the numerator to get: 132/5. Now we will attempt to convert 132/5 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 132 by the denominator 5 (which you can enter in any calculator):
132 (numerator) ÷ 5 (denominator) = 26.4
And finally, you get 26.4 as your answer when you convert 10 82/5 (or 132/5) 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 1 54/20 as a decimal?
What is 2 32/31 as a decimal?
What is 2 23/34 as a decimal?