Mastering Multiplication and Division of Mixed Numbers

This video tutorial covers the process of multiplying and dividing mixed numbers. It begins with an introduction to the concept, followed by detailed steps for converting mixed numbers to improper fractions, simplifying, multiplying, and converting back to mixed numbers. The tutorial also explains how to handle division by rewriting it as multiplication using the reciprocal. Examples are provided throughout to illustrate each step.

What is the first step in multiplying mixed numbers?

• Multiply the fractions

• Simplify the fractions

• Convert mixed numbers to improper fractions

• Convert the result to a mixed number

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

• Divide the numerator by the denominator

• Multiply the whole number by the denominator and add the numerator

• Subtract the numerator from the denominator

• Add the numerator and denominator

What is 3 1/3 converted to an improper fraction?

• 8/3

• 7/3

• 9/3

• 10/3

What is the product of 7/3 and 7/4?

• 49/12

• 14/12

• 21/12

• 28/12

What is 49/12 as a mixed number?

• 4 1/12

• 3 1/12

• 5 1/12

• 4 2/12

What is the first step in dividing mixed numbers?

• Convert the result to a mixed number

• Multiply the fractions

• Simplify the fractions

• Convert mixed numbers to improper fractions

How do you rewrite a division problem as a multiplication problem?

• Multiply by the reciprocal of the first fraction

• Divide by the reciprocal of the second fraction

• Divide by the reciprocal of the first fraction

• Multiply by the reciprocal of the second fraction

What is 10 divided by 16/5 rewritten as a multiplication problem?

• 10/1 * 16/5

• 1/10 * 16/5

• 10/1 * 5/16

• 1/10 * 5/16

What is the product of 10/1 and 5/16?

• 15/8

• 20/16

• 25/8

• 50/16

What is 25/8 as a mixed number?

• 3 1/8

• 2 1/8

• 3 2/8

• 4 1/8