How to Change Mixed Numbers Into Improper Fractions

By Brenda Sanders

A mixed number is written in the form of a whole number plus a fraction: 7 3/4. 7 is the whole number. 3 is the numerator. 4 is the denominator. It is pronounced as: seven and three fourths.

Multiply the whole number (7) by the denominator (4). In this case, 7 3/4 is our mixed number, so we will multiply 7x4. The product of 7x4 is 28.

Add the numerator (3) to the product (28) of the whole number and the denominator: 3+28. The sum of 3+28 is 31.

Make the sum (31), the new numerator in your improper fraction.

Keep the denominator the same as in the original mixed number: (4).

Your new improper fraction is the sum/denominator: 31/4. Thus. 7 ¾=31/4.

About the Author

Brenda Sanders is an educator who has taught in many capacities for over 15 years. She recently completed her doctorate in education from George Fox University. Brenda received her MAT from Pacific University and a Bachelor of Arts degree in journalism from California State University, Long Beach. She has also worked as a proofreader, editor and writer.