Solution: 117/33 as a mixed number is 3 18/33
Step-by-step solution of converting 117/33 as a mixed number
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 117 divided by 33? If you do some thinking or long division, you should get:
117 ÷ 33 → Quotient of 3 and a remainder of 18.
Now that we have all the numbers we need, let’s piece together our answer:
117 ÷ 33 = 3 18/33
Practice solving other mixed number problems:
The best way to become a pro at converting improper fractions to mixed numbers is by practicing. Take a look at some more problems below so that you can solve it without hesitation!
What is 196/51 as a mixed number?
What is 156/48 as a mixed number?
What is 190/4 as a mixed number?
What is 86/85 as a mixed number?
What is 172/103 as a mixed number?