Multiply Fractions by Whole Numbers with Models
Print 4th grade fraction multiplication worksheets: multiply whole numbers by unit and non-unit fractions using repeated visual models with answer keys. Aligned with Common Core standard CCSS 4.NF.B.4.
Worksheet version 1 of 12. Each version includes visual fraction bar models and an exact matching answer key.
1. Use the fraction bars to find the product: 4 × 1/5.
4 × 1/5 = ____/____
2. Use the repeated fraction bars to find the product: 3 × 2/7.
3 × 2/7 = ____/____
3. Multiply and write as an improper fraction and mixed number: 3 × 3/4.
3 × 3/4 = ____/____ = ____ ____/____
4. Find the product: 5 × 2/9.
5 × 2/9 = ____/____
5. Write 6/5 as a multiple of a unit fraction: ____ × 1/5.
6/5 = ____ × 1/5
6. Liam pours 3/8 cup of water into each of 3 plant pots. How much water does he pour in all?
Total water: ____/____ cups
How to Multiply a Whole Number by a Fraction
Multiplying a whole number by a fraction is repeated addition of that fraction:
- Unit fractions: 4 × (1/5) means 4 copies of 1/5 added together: 1/5 + 1/5 + 1/5 + 1/5 = 4/5.
- Non-unit fractions: 3 × (2/7) = 3 × 2 sevenths = 6/7. Multiply the whole number by the numerator, while the denominator stays the same.
- Products greater than 1: 4 × (2/3) = 8/3. Since 8 ÷ 3 = 2 with remainder 2, 8/3 can also be written as 2 2/3.
- Decomposing: Every fraction a/b is a multiple of its unit fraction: a/b = a × (1/b).
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