Q:

What is 3 82/17 as a decimal?

Accepted Solution

A:
Solution: 3 82/17 as a decimal is 7.82MethodsFirst step – Making the fraction improper:The first step to changing 3 82/17 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 82 in the numerator to get: 133/17. Now we will attempt to convert 133/17 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 133 by the denominator 17 (which you can enter in any calculator):133 (numerator) ÷ 17 (denominator) = 7.82And finally, you get 7.82 as your answer when you convert 3 82/17 (or 133/17) 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 15 1/10 as a decimal?What is 1 93/49 as a decimal?What is 6 6/15 as a decimal?What is 4 30/19 as a decimal?