To turn an improper fraction into a mixed number, follow these steps:
-
Divide the numerator by the denominator.
This division will give you a quotient (whole number) and a remainder. -
Write the quotient as the whole number part of the mixed number.
-
Make the remainder the numerator of the fractional part.
-
Keep the original denominator as the denominator of the fractional part.
So the mixed number is written as:
whole number
remainderdenominator\frac{\text{remainder}}{\text{denominator}}denominatorremainder.
Example
Convert 75\frac{7}{5}57 into a mixed number:
- Divide 7 by 5: quotient = 1, remainder = 2.
- The mixed number is 1251\frac{2}{5}152.
This means 75=125\frac{7}{5}=1\frac{2}{5}57=152
. This method works because an improper fraction represents division, and the whole number part shows how many times the denominator fits fully into the numerator, with the remainder forming the fractional part.
