What is 3 9/40 as a decimal?

Accepted Solution

Solution: 3 9/40 as a decimal is 3.23MethodsFirst step – Making the fraction improper:The first step to changing 3 9/40 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 40 and add its product to 9 in the numerator to get: 129/40. Now we will attempt to convert 129/40 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 129 by the denominator 40 (which you can enter in any calculator):129 (numerator) ÷ 40 (denominator) = 3.23And finally, you get 3.23 as your answer when you convert 3 9/40 (or 129/40) 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 47/10 as a decimal?What is 3 4/46 as a decimal?What is 3 38/23 as a decimal?What is 1 126/15 as a decimal?