5.NF.6 Multiply Mixed Numbers

Front

What is a mixed number?

Back

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

Front

How do you multiply mixed numbers?

Back

To multiply mixed numbers, convert them to improper fractions, multiply the fractions, and then convert back to a mixed number if necessary.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 9/4.

Front

Convert the mixed number 2 1/2 to an improper fraction.

Back

2 1/2 = 5/2.

Front

What is the first step in multiplying mixed numbers?

Back

Convert each mixed number to an improper fraction.

Front

Multiply: 1 1/2 × 2 1/3.

Back

1 1/2 × 2 1/3 = 3 1/6.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors.

Front

Multiply: 3/4 × 2/5.

Back

3/4 × 2/5 = 6/20 = 3/10 after simplification.

Front

What is the product of 2 3/4 and 1 1/2?

Back

The product is 4 1/8.

Front

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

Back

Divide the numerator by the denominator; the quotient is the whole number, and the remainder is the new numerator.