Q:

What is 2 31/23 as a decimal?

Accepted Solution

A:
Solution: 2 31/23 as a decimal is 3.35MethodsFirst step – Making the fraction improper:The first step to changing 2 31/23 into a decimal is to change it to an improper fraction. To do that, we need to multiply 2 by 23 and add its product to 31 in the numerator to get: 77/23. Now we will attempt to convert 77/23 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 77 by the denominator 23 (which you can enter in any calculator):77 (numerator) ÷ 23 (denominator) = 3.35And finally, you get 3.35 as your answer when you convert 2 31/23 (or 77/23) 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 6 34/17 as a decimal?What is 3 29/19 as a decimal?What is 1 14/43 as a decimal?What is 2 8/26 as a decimal?