Learn on PengiEureka Math, Grade 5Chapter 16: Making Like Units Pictorially

Lesson 4: Subtract fractions from numbers between 1 and 2.

In this Grade 5 Eureka Math lesson from Chapter 16, students learn to subtract fractions from mixed numbers between 1 and 2, working with unlike denominators using pictorial models. Students build on their understanding of part-whole relationships and equivalent fractions to solve expressions such as 1⅓ − ½. Fluency activities reinforce converting improper fractions to mixed numbers and subtracting fractions from 1 as preparation for the core concept.

Section 1

Subtracting with Rectangular Fraction Models

Property

To subtract a fraction from a mixed number using a model, first represent the mixed number with shaded rectangles (e.g., one whole and one partial).
Then, re-partition the rectangles to create equivalent fractions with a common denominator.
Finally, cross out the fractional amount being subtracted to find the difference.

Examples

Section 2

Subtracting from the Whole Number

Property

To subtract a fraction from a mixed number between 1 and 2, you can decompose the mixed number, subtract the fraction from the whole number (1), and then add the remaining fractional parts.
For a problem in the form 1abcd1 \frac{a}{b} - \frac{c}{d}, the process is:

(1cd)+ab(1 - \frac{c}{d}) + \frac{a}{b}

Examples

Book overview

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Chapter 16: Making Like Units Pictorially

  1. Lesson 1

    Lesson 1: Add fractions with unlike units using the strategy of creating equivalent fractions.

  2. Lesson 2

    Lesson 2: Add fractions with sums between 1 and 2.

  3. Lesson 3

    Lesson 3: Subtract fractions with unlike units using the strategy of creating equivalent fractions.

  4. Lesson 4Current

    Lesson 4: Subtract fractions from numbers between 1 and 2.

  5. Lesson 5

    Lesson 5: Solve two-step word problems.

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Subtracting with Rectangular Fraction Models

Property

To subtract a fraction from a mixed number using a model, first represent the mixed number with shaded rectangles (e.g., one whole and one partial).
Then, re-partition the rectangles to create equivalent fractions with a common denominator.
Finally, cross out the fractional amount being subtracted to find the difference.

Examples

Section 2

Subtracting from the Whole Number

Property

To subtract a fraction from a mixed number between 1 and 2, you can decompose the mixed number, subtract the fraction from the whole number (1), and then add the remaining fractional parts.
For a problem in the form 1abcd1 \frac{a}{b} - \frac{c}{d}, the process is:

(1cd)+ab(1 - \frac{c}{d}) + \frac{a}{b}

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 16: Making Like Units Pictorially

  1. Lesson 1

    Lesson 1: Add fractions with unlike units using the strategy of creating equivalent fractions.

  2. Lesson 2

    Lesson 2: Add fractions with sums between 1 and 2.

  3. Lesson 3

    Lesson 3: Subtract fractions with unlike units using the strategy of creating equivalent fractions.

  4. Lesson 4Current

    Lesson 4: Subtract fractions from numbers between 1 and 2.

  5. Lesson 5

    Lesson 5: Solve two-step word problems.