Multiplying Mixed Numbers

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.

Front

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

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder over the denominator is the fraction.

Front

What is the first step in multiplying mixed numbers?

Back

Convert each mixed number to an improper fraction.

Front

How do you multiply two fractions?

Back

Multiply the numerators together and multiply the denominators together.

Front

What is the final step after multiplying fractions?

Back

Simplify the resulting fraction if possible, and convert back to a mixed number if needed.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common divisor.

Front

Example: Multiply 2 1/3 by 1 1/2. What is the first step?

Back

Convert 2 1/3 to an improper fraction: 7/3.

Front

Example: Multiply 2 1/3 by 1 1/2. What is the second step?

Back

Convert 1 1/2 to an improper fraction: 3/2.

Front

Example: Multiply 2 1/3 by 1 1/2. What is the multiplication step?

Back

Multiply 7/3 by 3/2 to get 21/6.

Front

Example: Multiply 2 1/3 by 1 1/2. What is the simplification step?

Back

21/6 simplifies to 3 1/2.