What is 27 15/4 as a decimal?

Accepted Solution

Solution: 27 15/4 as a decimal is 30.75MethodsFirst step – Making the fraction improper:The first step to changing 27 15/4 into a decimal is to change it to an improper fraction. To do that, we need to multiply 27 by 4 and add its product to 15 in the numerator to get: 123/4. Now we will attempt to convert 123/4 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 123 by the denominator 4 (which you can enter in any calculator):123 (numerator) ÷ 4 (denominator) = 30.75And finally, you get 30.75 as your answer when you convert 27 15/4 (or 123/4) 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 44/32 as a decimal?What is 5 28/24 as a decimal?What is 8 91/4 as a decimal?What is 3 17/44 as a decimal?