Q:

What is 3 11/14 as a decimal?

Accepted Solution

A:
Solution: 3 11/14 as a decimal is 3.79MethodsFirst step – Making the fraction improper:The first step to changing 3 11/14 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 14 and add its product to 11 in the numerator to get: 53/14. Now we will attempt to convert 53/14 to a decimal using the following method:Explanation using the division method:One method to convert 53/14 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 53 by the denominator 14:53 (numerator) ÷ 14 (denominator) = 3.79And there you go! We got 3.79 as the answer when you convert 3 11/14 (or 53/14) 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 5 19/23 as a decimal?What is 3 1/38 as a decimal?What is 3 11/43 as a decimal?What is 1 12/29 as a decimal?