Q:

What is 1 82/31 as a decimal?

Accepted Solution

A:
Solution: 1 82/31 as a decimal is 3.65MethodsFirst step – Making the fraction improper:The first step to changing 1 82/31 into a decimal is to change it to an improper fraction. To do that, we need to multiply 1 by 31 and add its product to 82 in the numerator to get: 113/31. Now we will attempt to convert 113/31 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 113 by the denominator 31 (which you can enter in any calculator):113 (numerator) ÷ 31 (denominator) = 3.65And finally, you get 3.65 as your answer when you convert 1 82/31 (or 113/31) 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 53/28 as a decimal?What is 1 62/32 as a decimal?What is 2 4/45 as a decimal?What is 6 58/7 as a decimal?