What is 3 90/11 as a decimal?

Solution: 3 90/11 as a decimal is 11.18

Methods

First step – Making the fraction improper:

The first step to changing 3 90/11 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 11 and add its product to 90 in the numerator to get: 123/11. Now we will attempt to convert 123/11 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 123 by the denominator 11 (which you can enter in any calculator):

123 (numerator) ÷ 11 (denominator) = 11.18

And finally, you get 11.18 as your answer when you convert 3 90/11 (or 123/11) 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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