Q:

What is 115 114/128 as a decimal?

Accepted Solution

A:
Solution: 115 114/128 as a decimal is 115.89MethodsFirst step – Making the fraction improper:The first step to changing 115 114/128 into a decimal is to change it to an improper fraction. To do that, we need to multiply 115 by 128 and add its product to 114 in the numerator to get: 14834/128. Now we will attempt to convert 14834/128 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 14834 by the denominator 128 to get the decimal:14834 (numerator) ÷ 128 (denominator) = 115.89That’s it! When you convert 115 114/128 (or 14834/128) to a decimal, 115.89 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 8 68/9 as a decimal?What is 4 19/14 as a decimal?What is 6 21/20 as a decimal?What is 5 57/18 as a decimal?