What is 5 42/15 as a decimal?

Accepted Solution

Solution: 5 42/15 as a decimal is 7.8MethodsFirst step – Making the fraction improper:The first step to changing 5 42/15 into a decimal is to change it to an improper fraction. To do that, we need to multiply 5 by 15 and add its product to 42 in the numerator to get: 117/15. Now we will attempt to convert 117/15 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 117 by the denominator 15 (which you can enter in any calculator):117 (numerator) ÷ 15 (denominator) = 7.8And finally, you get 7.8 as your answer when you convert 5 42/15 (or 117/15) 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 19/34 as a decimal?What is 1 10/39 as a decimal?What is 8 54/12 as a decimal?What is 6 38/16 as a decimal?