What is 3 78/14 as a decimal?

Accepted Solution

Solution: 3 78/14 as a decimal is 8.57MethodsFirst step – Making the fraction improper:The first step to changing 3 78/14 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 14 and add its product to 78 in the numerator to get: 120/14. Now we will attempt to convert 120/14 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 120 by the denominator 14 (which you can enter in any calculator):120 (numerator) ÷ 14 (denominator) = 8.57And finally, you get 8.57 as your answer when you convert 3 78/14 (or 120/14) 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 50/26 as a decimal?What is 9 5/5 as a decimal?What is 5 17/15 as a decimal?What is 3 33/34 as a decimal?