Mastering Mixed Number Multiplication

Mathematics Grades 7th Grade 4:21 Video
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Lesson Description

Learn how to confidently multiply mixed numbers by converting them into improper fractions. This lesson covers the step-by-step process and simplification techniques.

Video Resource

How to multiply mixed numbers | Fractions | Pre-Algebra | Khan Academy

Khan Academy

Duration: 4:21
Watch on YouTube

Key Concepts

  • Mixed Numbers
  • Improper Fractions
  • Simplifying Fractions
  • Multiplication of Fractions

Learning Objectives

  • Students will be able to convert mixed numbers into improper fractions.
  • Students will be able to multiply mixed numbers by first converting them to improper fractions.
  • Students will be able to simplify the resulting improper fraction and convert it back to a mixed number.

Educator Instructions

  • Introduction (5 mins)
    Begin by reviewing the definition of mixed numbers and improper fractions. Ask students to provide examples of each. Briefly discuss why converting mixed numbers to improper fractions is helpful when multiplying.
  • Video Instruction (10 mins)
    Play the Khan Academy video 'How to multiply mixed numbers'. Encourage students to take notes on the steps involved in converting mixed numbers to improper fractions and multiplying them. Pause the video at key points to clarify concepts.
  • Guided Practice (15 mins)
    Work through a few example problems on the board, demonstrating the process of converting mixed numbers to improper fractions, multiplying, simplifying, and converting back to mixed numbers. Involve students by asking them to provide input on each step.
  • Independent Practice (15 mins)
    Provide students with a set of practice problems to solve independently. Circulate the classroom to provide assistance and answer questions. Encourage students to check their answers with a partner.
  • Wrap-up and Assessment (5 mins)
    Review the key concepts of the lesson and answer any remaining questions. Administer a short quiz to assess student understanding.

Interactive Exercises

  • Fraction Frenzy
    Divide the class into teams. Each team receives a set of mixed number multiplication problems. The first team to correctly solve all the problems wins.
  • Online Practice
    Direct students to Khan Academy or other online resources for additional practice problems and tutorials on multiplying mixed numbers.

Discussion Questions

  • Why is it generally easier to multiply improper fractions than mixed numbers?
  • What are some strategies for simplifying fractions before multiplying?
  • How can you check your answer to make sure it is reasonable?

Skills Developed

  • Procedural Fluency
  • Problem-Solving
  • Critical Thinking

Multiple Choice Questions

Question 1:

What is the first step in multiplying mixed numbers?

Correct Answer: Convert to improper fractions

Question 2:

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

Correct Answer: Multiply the whole number by the denominator and add the numerator

Question 3:

What is 2 and 1/3 converted to an improper fraction?

Correct Answer: 7/3

Question 4:

What is 5/2 converted to a mixed number?

Correct Answer: 2 and 1/2

Question 5:

When is it helpful to simplify fractions?

Correct Answer: Both before and after

Question 6:

What is 1 and 1/2 multiplied by 2?

Correct Answer: 3

Question 7:

What should you do after multiplying the improper fractions?

Correct Answer: Simplify if needed and convert to a mixed number

Question 8:

Which of the following is a mixed number?

Correct Answer: 2 and 1/4

Question 9:

Which of the following is an improper fraction?

Correct Answer: 7/3

Question 10:

What is the denominator of the improper fraction 9/4 when converted back to a mixed number?

Correct Answer: 4

Fill in the Blank Questions

Question 1:

A number with a whole number part and a fraction part is called a ______ number.

Correct Answer: mixed

Question 2:

In an improper fraction, the numerator is ______ than the denominator.

Correct Answer: greater

Question 3:

To convert a mixed number to an improper fraction, you multiply the whole number by the ______ and add the numerator.

Correct Answer: denominator

Question 4:

Before multiplying fractions, you can sometimes ______ them to make the calculation easier.

Correct Answer: simplify

Question 5:

After multiplying improper fractions, convert the answer back to a ______ number.

Correct Answer: mixed

Question 6:

2 and 2/5 converted to an improper fraction is ______.

Correct Answer: 12/5

Question 7:

10/3 converted to a mixed number is ______.

Correct Answer: 3 and 1/3

Question 8:

Multiplying mixed numbers requires you to first turn them into _____ fractions.

Correct Answer: improper

Question 9:

The top number of a fraction is called the ____.

Correct Answer: numerator

Question 10:

The bottom number of a fraction is called the ____.

Correct Answer: denominator

Educational Standards

7.N.2.3:Multiply and divide integers in a variety of situations; use efficient and generalizable procedures, including standard algorithms. 7.N.1.2:Recognize and generate equivalent representations of rational numbers, including equivalent fractions. 7.N.2.5:Model and solve problems using rational numbers involving addition, subtraction, multiplication, division, and positive integer exponents.

Teaching Materials

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