Q:

What is 1 82/15 as a decimal?

Accepted Solution

A:
Solution: 1 82/15 as a decimal is 6.47MethodsFirst step – Making the fraction improper:The first step to changing 1 82/15 into a decimal is to change it to an improper fraction. To do that, we need to multiply 1 by 15 and add its product to 82 in the numerator to get: 97/15. Now we will attempt to convert 97/15 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 97 by the denominator 15 (which you can enter in any calculator):97 (numerator) ÷ 15 (denominator) = 6.47And finally, you get 6.47 as your answer when you convert 1 82/15 (or 97/15) 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 6/47 as a decimal?What is 3 127/6 as a decimal?What is 15 21/7 as a decimal?What is 1 52/43 as a decimal?