Learn on PengiIllustrative Mathematics, Grade 5Chapter 3: Multiplying and Dividing Fractions

Lesson 5: Apply Fraction Multiplication

In this Grade 5 lesson from Illustrative Mathematics Chapter 3, students apply fraction multiplication to solve real-world and mathematical problems involving multiplication of fractions and mixed numbers. Building on prior lessons in the Multiplying and Dividing Fractions unit, students practice setting up and computing fraction multiplication expressions in context. The lesson strengthens fluency with multiplying fractions by fractions and whole numbers through applied problem-solving tasks.

Section 1

Estimating Area with Fractions

Property

To estimate the area of a rectangle with fractional side lengths, round each dimension to the nearest compatible number (often a whole number) and then multiply.

Area \approx (rounded length) ×\times (rounded width)

Section 2

Finding Area with Mixed Number Side Lengths

Property

To find the area of a rectangle with mixed number side lengths, first convert the mixed numbers to improper fractions. Then, multiply the length and width.

A=l×wA = l \times w

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Estimating Area with Fractions

Property

To estimate the area of a rectangle with fractional side lengths, round each dimension to the nearest compatible number (often a whole number) and then multiply.

Area \approx (rounded length) ×\times (rounded width)

Section 2

Finding Area with Mixed Number Side Lengths

Property

To find the area of a rectangle with mixed number side lengths, first convert the mixed numbers to improper fractions. Then, multiply the length and width.

A=l×wA = l \times w