Solution: 3 55/24 as a decimal is 5.29
Methods
First step – Making the fraction improper:
The first step to changing 3 55/24 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 24 and add its product to 55 in the numerator to get: 127/24. Now we will attempt to convert 127/24 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 127 by the denominator 24 (which you can enter in any calculator):
127 (numerator) ÷ 24 (denominator) = 5.29
And finally, you get 5.29 as your answer when you convert 3 55/24 (or 127/24) 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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