What is 115 38/144 as a decimal?

Accepted Solution

Solution: 115 38/144 as a decimal is 115.26MethodsFirst step – Making the fraction improper:The first step to changing 115 38/144 into a decimal is to change it to an improper fraction. To do that, we need to multiply 115 by 144 and add its product to 38 in the numerator to get: 16598/144. Now we will attempt to convert 16598/144 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 16598 by the denominator 144 (which you can enter in any calculator):16598 (numerator) ÷ 144 (denominator) = 115.26And finally, you get 115.26 as your answer when you convert 115 38/144 (or 16598/144) 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 2 44/47 as a decimal?What is 2 51/32 as a decimal?What is 4 3/34 as a decimal?What is 9 14/15 as a decimal?