Solution: 4 9/29 as a decimal is 4.31
Methods
First step – Making the fraction improper:
The first step to changing 4 9/29 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 29 and add its product to 9 in the numerator to get: 125/29. Now we will attempt to convert 125/29 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 125 by the denominator 29 (which you can enter in any calculator):
125 (numerator) ÷ 29 (denominator) = 4.31
And finally, you get 4.31 as your answer when you convert 4 9/29 (or 125/29) 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 4 8/34 as a decimal?
What is 9 11/15 as a decimal?
What is 9 25/13 as a decimal?