There are three basic steps to convert an improper fraction to a mixed number:
- Divide the numerator by the denominator (you can use long division if you want to!) to find out what the quotient and the remainder are. If the fraction is made up of whole numbers, you will always get an integer quotient and an integer remainder.
- Note down what your quotient, remainder, and original denominator is.
- Now rewrite these three numbers in Step 2 in a mixed number format where:
- the quotient is the whole number next to the proper fraction
- the remainder is the numerator of the proper fraction
- the original denominator is the new denominator of the proper fraction
Let’s apply these steps to our problem. What is 60 divided by 7? If you do some thinking or long division, you should get:
60 ÷ 7 → Quotient of 8 and a remainder of 4.
Now that we have all the numbers we need, let’s piece together our answer:
60 ÷ 7 = 8 4/7