Q:

What is 78 14/132 as a decimal?

Accepted Solution

A:
Solution: 78 14/132 as a decimal is 78.11MethodsFirst step – Making the fraction improper:The first step to changing 78 14/132 into a decimal is to change it to an improper fraction. To do that, we need to multiply 78 by 132 and add its product to 14 in the numerator to get: 10310/132. Now we will attempt to convert 10310/132 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 10310 by the denominator 132 (which you can enter in any calculator):10310 (numerator) ÷ 132 (denominator) = 78.11And finally, you get 78.11 as your answer when you convert 78 14/132 (or 10310/132) to a decimal. Practice more conversion problemsAll 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 3 26/19 as a decimal?What is 37 2/4 as a decimal?What is 6 2/24 as a decimal?What is 1 37/47 as a decimal?