Solution: 17 13/7 as a decimal is 18.86
Methods
First step – Making the fraction improper:
The first step to changing 17 13/7 into a decimal is to change it to an improper fraction. To do that, we need to multiply 17 by 7 and add its product to 13 in the numerator to get: 132/7. Now we will attempt to convert 132/7 to a decimal using the following method:
Explanation using the division method:
Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 132 by the denominator 7 to get the decimal:
132 (numerator) ÷ 7 (denominator) = 18.86
That’s it! When you convert 17 13/7 (or 132/7) to a decimal, 18.86 is your answer.
Master fraction to decimal conversions
If this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!
What is 5 5/29 as a decimal?
What is 5 3/11 as a decimal?
What is 3 10/42 as a decimal?
What is 1 44/39 as a decimal?