Q:

What is 37 31/3 as a decimal?

Accepted Solution

A:
Solution: 37 31/3 as a decimal is 47.33MethodsFirst step – Making the fraction improper:The first step to changing 37 31/3 into a decimal is to change it to an improper fraction. To do that, we need to multiply 37 by 3 and add its product to 31 in the numerator to get: 142/3. Now we will attempt to convert 142/3 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 142 by the denominator 3 (which you can enter in any calculator):142 (numerator) ÷ 3 (denominator) = 47.33And finally, you get 47.33 as your answer when you convert 37 31/3 (or 142/3) 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 7/45 as a decimal?What is 10 20/11 as a decimal?What is 3 7/17 as a decimal?What is 3 28/13 as a decimal?