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Multiply fractions with an area model

5th grade (Year 6 in England) · 16 questions · Common Core: 5.NF.B.4.B · England: Y6 Fractions

Name

Date

Score/ 16

  1. Question 1

    1/5 of a garden is used for vegetables. Elena plants carrots in 2/3 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  2. Question 2

    The grid is 3 rows by 5 columns. 1 row and 2 columns are shaded; the overlap shows 1/3 × 2/5. What is 1/3 × 2/5?

    Answer(as a fraction)

  3. Question 3

    2/3 of a garden is used for vegetables. Zara plants carrots in 1/2 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  4. Question 4

    The grid is 5 rows by 5 columns. 4 rows and 3 columns are shaded; the overlap shows 4/5 × 3/5. What is 4/5 × 3/5?

    Answer(as a fraction)

  5. Question 5

    4/5 of a garden is used for vegetables. Mei plants carrots in 1/3 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  6. Question 6

    The grid is 3 rows by 3 columns. 2 rows and 1 column are shaded; the overlap shows 2/3 × 1/3. What is 2/3 × 1/3?

    Answer(as a fraction)

  7. Question 7

    2/3 of a garden is used for vegetables. Yuki plants carrots in 1/3 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  8. Question 8

    The grid is 4 rows by 5 columns. 1 row and 2 columns are shaded; the overlap shows 1/4 × 2/5. What is 1/4 × 2/5?

    Answer(as a fraction)

  9. Question 9

    2/4 of a garden is used for vegetables. Liam plants carrots in 2/3 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  10. Question 10

    The grid is 3 rows by 2 columns. 1 row and 1 column are shaded; the overlap shows 1/3 × 1/2. What is 1/3 × 1/2?

    Answer(as a fraction)

  11. Question 11

    3/4 of a garden is used for vegetables. Ben plants carrots in 1/3 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  12. Question 12

    The grid is 2 rows by 5 columns. 1 row and 4 columns are shaded; the overlap shows 1/2 × 4/5. What is 1/2 × 4/5?

    Answer(as a fraction)

  13. Question 13

    1/3 of a garden is used for vegetables. Sam plants carrots in 1/4 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  14. Question 14

    The grid is 4 rows by 4 columns. 2 rows and 2 columns are shaded; the overlap shows 2/4 × 2/4. What is 2/4 × 2/4?

    Answer(as a fraction)

  15. Question 15

    4/5 of a garden is used for vegetables. Tariq plants carrots in 1/2 of the vegetable part. What fraction of the whole garden has carrots?

    Answer(as a fraction)

  16. Question 16

    The grid is 5 rows by 4 columns. 2 rows and 2 columns are shaded; the overlap shows 2/5 × 2/4. What is 2/5 × 2/4?

    Answer(as a fraction)

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Answer key: Multiply fractions with an area model

  1. 1. 2/15

  2. 2. 2/15

  3. 3. 2/6

  4. 4. 12/25

  5. 5. 4/15

  6. 6. 2/9

  7. 7. 2/9

  8. 8. 2/20

  9. 9. 4/12

  10. 10. 1/6

  11. 11. 3/12

  12. 12. 4/10

  13. 13. 1/12

  14. 14. 4/16

  15. 15. 4/10

  16. 16. 4/20