Improper Fractions and Mixed Numbers

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). For example, 7/4 is an improper fraction.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/3 is a mixed number.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fraction.

Front

Convert 20/3 to a mixed number.

Back

6 2/3

Front

Convert 11/2 to a mixed number.

Back

5 1/2

Front

What is the process to change a mixed number to an improper fraction?

Back

To change a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

Convert 57/8 to a mixed number.

Back

7 1/8

Front

Convert 5 1/4 to an improper fraction.

Back

21/4

Front

What is the definition of a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator. For example, 3/4 is a proper fraction.

Front

What is the relationship between improper fractions and mixed numbers?

Back

Every improper fraction can be expressed as a mixed number, and every mixed number can be expressed as an improper fraction.