Q:

What is 3 89/12 as a decimal?

Accepted Solution

A:
Solution: 3 89/12 as a decimal is 10.42MethodsFirst step – Making the fraction improper:The first step to changing 3 89/12 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 12 and add its product to 89 in the numerator to get: 125/12. Now we will attempt to convert 125/12 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 125 by the denominator 12 (which you can enter in any calculator):125 (numerator) ÷ 12 (denominator) = 10.42And finally, you get 10.42 as your answer when you convert 3 89/12 (or 125/12) 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 13/37 as a decimal?What is 3 4/36 as a decimal?What is 2 42/41 as a decimal?What is 5 61/10 as a decimal?