Solution: 4 46/14 as a decimal is 7.29
Methods
First step – Making the fraction improper:
The first step to changing 4 46/14 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 14 and add its product to 46 in the numerator to get: 102/14. Now we will attempt to convert 102/14 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 102 by the denominator 14 (which you can enter in any calculator):
102 (numerator) ÷ 14 (denominator) = 7.29
And finally, you get 7.29 as your answer when you convert 4 46/14 (or 102/14) 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 75/50 as a decimal?
What is 6 2/24 as a decimal?
What is 4 20/30 as a decimal?