Q:

What is 3 95/17 as a decimal?

Accepted Solution

A:
Solution: 3 95/17 as a decimal is 8.59MethodsFirst step – Making the fraction improper:The first step to changing 3 95/17 into a decimal is to change it to an improper fraction. To do that, we need to multiply 3 by 17 and add its product to 95 in the numerator to get: 146/17. Now we will attempt to convert 146/17 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 146 by the denominator 17 (which you can enter in any calculator):146 (numerator) ÷ 17 (denominator) = 8.59And finally, you get 8.59 as your answer when you convert 3 95/17 (or 146/17) 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 4 28/20 as a decimal?What is 9 80/7 as a decimal?What is 3 3/48 as a decimal?What is 4 4/35 as a decimal?