Q:

What is 3 78/8 as a decimal?

Accepted Solution

A:
Solution: 3 78/8 as a decimal is 12.75MethodsFirst step – Making the fraction improper:The first step to changing 3 78/8 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 8 and add its product to 78 in the numerator to get: 102/8. Now we will attempt to convert 102/8 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 102 by the denominator 8 to get the decimal:102 (numerator) ÷ 8 (denominator) = 12.75That’s it! When you convert 3 78/8 (or 102/8) to a decimal, 12.75 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 3 14/36 as a decimal?What is 2 39/20 as a decimal?What is 2 112/14 as a decimal?What is 1 25/46 as a decimal?