Q:

What is 3 86/21 as a decimal?

Accepted Solution

A:
Solution: 3 86/21 as a decimal is 7.1MethodsFirst step – Making the fraction improper:The first step to changing 3 86/21 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 21 and add its product to 86 in the numerator to get: 149/21. Now we will attempt to convert 149/21 to a decimal using the following method:Explanation using the division method:One method to convert 149/21 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 149 by the denominator 21:149 (numerator) ÷ 21 (denominator) = 7.1And there you go! We got 7.1 as the answer when you convert 3 86/21 (or 149/21) 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 1 16/36 as a decimal?What is 2 38/49 as a decimal?What is 4 10/34 as a decimal?What is 1 46/37 as a decimal?