Q:

What is 3 119/8 as a decimal?

Accepted Solution

A:
Solution: 3 119/8 as a decimal is 17.88MethodsFirst step – Making the fraction improper:The first step to changing 3 119/8 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 119 in the numerator to get: 143/8. Now we will attempt to convert 143/8 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 143 by the denominator 8 (which you can enter in any calculator):143 (numerator) ÷ 8 (denominator) = 17.88And finally, you get 17.88 as your answer when you convert 3 119/8 (or 143/8) 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 4 2/37 as a decimal?What is 1 92/31 as a decimal?What is 1 120/22 as a decimal?What is 2 32/21 as a decimal?