What is 3 49/24 as a decimal?

Accepted Solution

Solution: 3 49/24 as a decimal is 5.04MethodsFirst step – Making the fraction improper:The first step to changing 3 49/24 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 24 and add its product to 49 in the numerator to get: 121/24. Now we will attempt to convert 121/24 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 121 by the denominator 24 (which you can enter in any calculator):121 (numerator) ÷ 24 (denominator) = 5.04And finally, you get 5.04 as your answer when you convert 3 49/24 (or 121/24) 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 7 11/18 as a decimal?What is 2 53/45 as a decimal?What is 2 21/48 as a decimal?What is 8 35/11 as a decimal?