Solution: 8 5/14 as a decimal is 8.36
Methods
First step – Making the fraction improper:
The first step to changing 8 5/14 into a decimal is to change it to an improper fraction. To do that, we need to multiply 8 by 14 and add its product to 5 in the numerator to get: 117/14. Now we will attempt to convert 117/14 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 117 by the denominator 14 (which you can enter in any calculator):
117 (numerator) ÷ 14 (denominator) = 8.36
And finally, you get 8.36 as your answer when you convert 8 5/14 (or 117/14) 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:
What is 9 109/2 as a decimal?
What is 3 20/32 as a decimal?
What is 2 68/36 as a decimal?
What is 19 14/7 as a decimal?