Q:

What is 40 119/78 as a decimal?

Accepted Solution

A:
Solution: 40 119/78 as a decimal is 41.53MethodsFirst step – Making the fraction improper:The first step to changing 40 119/78 into a decimal is to change it to an improper fraction. To do that, we need to multiply 40 by 78 and add its product to 119 in the numerator to get: 3239/78. Now we will attempt to convert 3239/78 to a decimal using the following method:Explanation using the division method:Put in a nutshell, a fraction is written in terms of two parts separated by a line in between: the number above the line is called the numerator and the number below the line is called the denominator. To solve this question, we can use the division method to get a decimal: simply divide the numerator 3239 by the denominator 78 to get the decimal:3239 (numerator) ÷ 78 (denominator) = 41.53That’s it! When you convert 40 119/78 (or 3239/78) to a decimal, 41.53 is your answer.Master fraction to decimal conversionsIf this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!What is 6 3/24 as a decimal?What is 3 3/44 as a decimal?What is 2 51/48 as a decimal?What is 1 99/43 as a decimal?