Mixed Numbers and Improper Fractions Help

Introduction to Mixed Numbers and Improper Fractions

Improper Fractions

An improper fraction is a fraction whose numerator is larger than its denominator. For example, is an improper fraction.

Mixed Numbers

A mixed number consists of the sum of a whole number and a fraction. For example (which is really ) is a mixed number. We will practice going back and forth between the two forms.

Converting Mixed Numbers to Improper Fractions

To convert a mixed number into an improper fraction, first multiply the whole number by the fraction’s denominator. Next add this to the numerator. The sum is the new numerator.

Examples

Find practice problems and solutions at Mixed Numbers and Improper Fractions Practice Problems - Set 1.

Converting Mixed Fractions to Improper Fractions Using Division

There is a close relationship between improper fractions and division of whole numbers. First let us review the parts of a division problem.

In an improper fraction, the numerator is the dividend and the divisor is the denominator. In a mixed number, the quotient is the whole number, the remainder is the new numerator, and the divisor is the denominator.

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The remainder will be the new numerator and the quotient will be the whole number.

Examples

Find practice problems and solutions at Mixed Numbers and Improper Fractions Practice Problems - Set 2.

More practice problems for this concept can be found at: Algebra Fractions Practice Test.