How to: Improper Fractions Into Proper Fractions

By Genevieve Van Wyden
Proper fractions represent parts of a whole.

You already know that proper fractions have numerators smaller than the denominators, such as 1/2, 2/10 or 3/4, making them equal less than 1. The improper fraction has a numerator larger than the denominator. And mixed numbers have a whole number sitting next to a proper fraction -- for example, 4 3/6 or 1 1/2. As you work on converting improper fractions, you’ll find yourself using your knowledge of division.



Write down the improper fraction -- for example, 27/6. The fraction bar means you need to divide 27 by 6.

Divide 27 by 6. The answer is 4, with a remainder of 3. Use the answer as the whole number part of the mixed number, and place the remainder over the original denominator: 4 3/6.

Reduce the fraction, if necessary. For example, 3/6 equals 1/2 (the lowest common denominator of 3 and 6 is 3, so divide both the numerator and the denominator by 3 to reduce the fraction to 1/2).

About the Author

Genevieve Van Wyden began writing in 2007. She has written for “Tu Revista Latina” and owns three blogs. She has worked as a CPS social worker, gaining experience in the mental-health system. Van Wyden earned her Bachelor of Arts in journalism from New Mexico State University in 2006.