📐 Part 1: Multiply Fractions by Whole Numbers

Directions: Solve each problem. Simplify your answer if possible. Show your work in the box provided.

✖️ Part 2: Multiply Fractions by Fractions

Directions: Multiply the fractions. Simplify your answer if possible. Show your work in the box provided.

🗝️ Answer Key — Teacher Reference

For teacher use only. Distribute separately or after the activity is complete.

Part 1: Multiply Fractions by Whole Numbers

    = 6/5 = 1 1/5

Solution: Write 3 as 3/1. Multiply numerators: 3 × 2 = 6. Multiply denominators: 1 × 5 = 5. Answer: 6/5 = 1 1/5

    = 12/8 = 3/2 = 1 1/2

Solution: 4 × 3 = 12; denominator stays 8. Simplify: 12÷4 / 8÷4 = 3/2 = 1 1/2

    = 6/4 = 3/2 = 1 1/2

Solution: 6 × 1 = 6; denominator = 4. Simplify: 6÷2 / 4÷2 = 3/2 = 1 1/2

    = 10/3 = 3 1/3

Solution: 5 × 2 = 10; denominator = 3. 10/3 = 3 remainder 1 = 3 1/3

    = 24/4 = 6

Solution: 8 × 3 = 24; denominator = 4. Simplify: 24 ÷ 4 = 6

Part 2: Multiply Fractions by Fractions

    = 3/8 = 3/8

Solution: 1 × 3 = 3; 2 × 4 = 8. Already in simplest form.

    = 6/15 = 2/5

Solution: 2 × 3 = 6; 3 × 5 = 15. Simplify: 6÷3 / 15÷3 = 2/5

    = 6/36 = 1/6

Solution: 3 × 2 = 6; 4 × 9 = 36. Simplify: 6÷6 / 36÷6 = 1/6

    = 15/60 = 1/4

Solution: 5 × 3 = 15; 6 × 10 = 60. Simplify: 15÷15 / 60÷15 = 1/4

    = 20/40 = 1/2

Solution: 4 × 5 = 20; 5 × 8 = 40. Simplify: 20÷20 / 40÷20 = 1/2

🔴 Extension Answer Key

    = 6/12 = 1/2 cup of sugar

Maya needs 1/2 cup of sugar to make 2/3 of the recipe.

    = 20/30 = 2/3 square mile

The area of the garden is 2/3 of a square mile.

Yes, when you multiply two fractions that are each less than 1, the product is always less than both fractions. Example: 1/2 × 1/2 = 1/4, which is less than both 1/2 values. This is because multiplying by a fraction less than 1 means you are taking a part of the other number, making it smaller.