Q:

What is 9 74/4 as a decimal?

Accepted Solution

A:
Solution: 9 74/4 as a decimal is 27.5MethodsFirst step – Making the fraction improper:The first step to changing 9 74/4 into a decimal is to change it to an improper fraction. To do that, we need to multiply 9 by 4 and add its product to 74 in the numerator to get: 110/4. Now we will attempt to convert 110/4 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 110 by the denominator 4 (which you can enter in any calculator):110 (numerator) ÷ 4 (denominator) = 27.5And finally, you get 27.5 as your answer when you convert 9 74/4 (or 110/4) 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 49/45 as a decimal?What is 7 1/21 as a decimal?What is 7 2/18 as a decimal?What is 3 2/40 as a decimal?