Solution: 3 63/13 as a decimal is 7.85
Methods
First step – Making the fraction improper:
The first step to changing 3 63/13 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 13 and add its product to 63 in the numerator to get: 102/13. Now we will attempt to convert 102/13 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 13 (which you can enter in any calculator):
102 (numerator) ÷ 13 (denominator) = 7.85
And finally, you get 7.85 as your answer when you convert 3 63/13 (or 102/13) 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 5 9/22 as a decimal?
What is 6 18/19 as a decimal?
What is 2 71/37 as a decimal?
What is 3 73/18 as a decimal?