Unit 17: Fraction Operations

Day 15 of 30

Subtract mixed numbers

3-5Mathematics

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Learning Objective

Students will be able to subtract mixed numbers.

Today's Lesson

In this lesson, we'll explore how to subtract mixed numbers. Mathematical thinking develops logical reasoning and problem-solving abilities.

A mixed number has a whole number and a fraction (like 2 1/3). An improper fraction has a numerator larger than or equal to its denominator (like 7/3). To convert: Mixed to improper: multiply the whole number by the denominator, add the numerator (2 1/3 = 7/3). Improper to mixed: divide the numerator by the denominator; the quotient is the whole number, remainder is the new numerator (7/3 = 2 1/3). Both forms are useful in different situations!

As you work through today's material, pay attention to the examples and try to identify the patterns or strategies being used. This will help you apply these concepts to new problems.

Take notes on key points and make connections to what you've already learned in previous lessons.

Key Terms
Problem

A mathematical question requiring analysis and solution

Solution

The result obtained by solving a problem

Activities
Instructions
1. Review the example problems for subtract mixed numbers. 2. Identify the steps and strategies used. 3. Work through practice problems independently. 4. Compare solutions with a partner.
Materials Needed
  • Notebook
  • Calculator (if needed)
  • Graph paper
Practice Problems
1

Convert 2 1/4 to an improper fraction.

Hint: 2 × 4 + 1 = 9. Keep denominator 4.
2

Convert 11/3 to a mixed number.

Hint: Divide 11 by 3. Quotient is whole, remainder over 3.
3

Which is larger: 5/2 or 2?

Hint: Convert to same form. 5/2 = 2 1/2, which is greater than 2.

Teaching Tip

For this age group: Balance direct instruction with collaborative activities. Allow students to explain their thinking and make connections to prior knowledge when exploring subtract mixed numbers.

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