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Multiplying Fractions with Models

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Multiplying Fractions with Models

Multiply the numerators and multiply the denominators. Simplify each product where possible. Use the models to think about finding a fraction of a fraction.

Quick check

Choose the best answer for each question. For the final question, select both correct statements.

1.What is 2/3 × 1/4?
  • 3/7
  • 1/6
  • 2/7
  • 1/12
2.A rectangle is divided into thirds in one direction and fifths in the other. What fraction of the whole rectangle is in one small overlap section?
  • 1/8
  • 1/15
  • 2/15
  • 1/5
3.Which idea does an area model for 3/4 × 2/5 represent?
  • Adding 3/4 and 2/5
  • Finding 2/5 of 3/4
  • Dividing 3/4 into 2 equal parts
  • Finding the difference between 3/4 and 2/5
4.Select the two steps used to multiply 4/7 × 3/8.
  • Multiply the numerators: 4 × 3
  • Add the denominators: 7 + 8
  • Multiply the denominators: 7 × 8
  • Subtract the numerators: 4 − 3

Match and calculate

Match each multiplication expression to its simplified product. Then complete the calculation questions.

5.Match each expression with its product.
  • 1/2 × 3/5
  • 2/3 × 3/4
  • 5/6 × 3/5
  • 3/8 × 4/9
  • 1/2
  • 1/6
  • 3/10
  • 1/2
6.Calculate 3/5 × 7/9. Give your answer in simplest form.
7.Find 5/8 of 4/7. Show how you multiply and simplify the result.
8.Calculate 4 × 3/10. Write the answer as a mixed number or whole number if appropriate.

Show it with a model

Use the model to help you represent the product. Show your working and simplify your answer.

9.Use the fraction bars to help model 2/3 × 3/4. Draw or describe how an area model would show the overlap, then write the product in simplest form.
Draw a rectangle divided into 3 equal columns and 4 equal rows. Shade 2 columns one way and 3 rows another way to show the overlap.

2/3 of a whole

3/4 of a whole

10.A sports drink recipe uses 2/3 of a litre of water per bottle. How much water is needed for 3/4 of a bottle’s recipe?
11.Calculate 7/4 × 2/7. Explain briefly why the product is less than 1, equal to 1, or greater than 1.

3 printable pages

  • Multiplying Fractions with Models, page 1 of 3: Quick check

    Page 1

  • Multiplying Fractions with Models, page 2 of 3: Match and calculate, Show it with a model

    Page 2

  • Multiplying Fractions with Models, page 3 of 3: Draw a rectangle divided into 3 equal columns and 4 equal rows. Shade 2 columns one way…

    Page 3

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