Q:

What is 8 30/7 as a decimal?

Accepted Solution

A:
Solution: 8 30/7 as a decimal is 12.29MethodsFirst step – Making the fraction improper:The first step to changing 8 30/7 into a decimal is to change it to an improper fraction. To do that, we need to multiply 8 by 7 and add its product to 30 in the numerator to get: 86/7. Now we will attempt to convert 86/7 to a decimal using the following method:Explanation using the division method:One method to convert 86/7 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 86 by the denominator 7:86 (numerator) Γ· 7 (denominator) = 12.29And there you go! We got 12.29 as the answer when you convert 8 30/7 (or 86/7) 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 8 12/10 as a decimal?What is 5 47/14 as a decimal?What is 1 109/37 as a decimal?What is 1 41/35 as a decimal?