Solution: 5 30/17 as a decimal is 6.76
Methods
First step – Making the fraction improper:
The first step to changing 5 30/17 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 17 and add its product to 30 in the numerator to get: 115/17. Now we will attempt to convert 115/17 to a decimal using the following method:
Explanation using the division method:
One method to convert 115/17 to a decimal is by using the division method. Before we move ahead to the method, here is a quick recap on fractions: A fraction is a number representation that is broken down into two parts - the number on top is called the numerator, and the number on the bottom is called the denominator. To get a decimal using the division method, simply divide the numerator 115 by the denominator 17:
115 (numerator) ÷ 17 (denominator) = 6.76
And there you go! We got 6.76 as the answer when you convert 5 30/17 (or 115/17) to a decimal.
Practice more 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 50 1/3 as a decimal?
What is 1 44/43 as a decimal?
What is 1 91/39 as a decimal?
What is 5 46/20 as a decimal?