Math · Fractions

Dividing Fractions by Fractions

Divide fractions and mixed numbers using reciprocals and solve fraction division stories.

  • 🎓 Grade 6
  • 🧮 Math
  • 📐 6.NS.A.1
  • ❓ 21 questions
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  1. 2 1/2 ÷ 2/3 = ?

    • A 3 3/4
    • B 1 3/4
    • C 1 2/3
    • D 4/15

    2 1/2 = 5/2; 5/2 × 3/2 = 3 3/4

  2. 5/8 ÷ 5/6 = ?

    • A 3/4
    • B 3/8
    • C 1 1/3
    • D 25/48

    Multiply by the reciprocal: 5/8 × 6/5 = 3/4

  3. 5/6 ÷ 1/3 = ?

    • A 1 1/4
    • B 2 1/2
    • C 5/18
    • D 2/5

    Multiply by the reciprocal: 5/6 × 3/1 = 2 1/2

  4. 4/5 ÷ 2/3 = ?

    • A 5/6
    • B 8/15
    • C 1 1/5
    • D 3/5

    Multiply by the reciprocal: 4/5 × 3/2 = 1 1/5

  5. Which expression equals 4/9 ÷ 2/3?

    • A 9/4 × 2/3
    • B 4/9 × 3/2
    • C 4/9 × 2/3
    • D 9/4 × 3/2
  6. A rectangle has area 3/4 sq m and length 3/2 m. What is its width?

    • A 2 m
    • B 3/8 m
    • C 1/2 m
    • D 9/8 m

    3/4 ÷ 3/2 = 1/2

  7. What is the reciprocal of 5/8?

    • A 5/8
    • B 8/5
    • C −5/8
    • D 1 5/8
  8. 3/5 ÷ 3/10 = ?

    • A 1/2
    • B 9/50
    • C 2
    • D 1

    Multiply by the reciprocal: 3/5 × 10/3 = 2

  9. 7/8 ÷ 1/4 = ?

    • A 1 3/4
    • B 7/32
    • C 3 1/2
    • D 2/7

    Multiply by the reciprocal: 7/8 × 4/1 = 3 1/2

  10. 3/8 ÷ 3/4 = ?

    • A 1/2
    • B 1/4
    • C 2
    • D 9/32

    Multiply by the reciprocal: 3/8 × 4/3 = 1/2

  11. Which story fits 3 ÷ 1/4?

    • A What is 1/4 of 3 pounds?
    • B How many 1/4-pound bags in 3 pounds?
    • C Add 1/4 pound to 3 pounds.
    • D Share 1/4 pound among 3 people.
  12. A 2/3-mile trail is split into sections of 1/6 mile. How many sections?

    • A 4
    • B 1/9
    • C 1/4
    • D 3

    2/3 ÷ 1/6 = 4

  13. 1 3/4 ÷ 5/8 = ?

    • A 5/14
    • B 1 3/32
    • C 11/20
    • D 2 4/5

    1 3/4 = 7/4; 7/4 × 8/5 = 2 4/5

  14. 3 1/3 ÷ 1/2 = ?

    • A 1 2/3
    • B 6 2/3
    • C 2 1/3
    • D 3/20

    3 1/3 = 10/3; 10/3 × 2/1 = 6 2/3

  15. 1/3 ÷ 5/6 = ?

    • A 1/5
    • B 2 1/2
    • C 2/5
    • D 5/18

    Multiply by the reciprocal: 1/3 × 6/5 = 2/5

  16. 1/2 ÷ 3/4 = ?

    • A 1/3
    • B 2/3
    • C 3/8
    • D 1 1/2

    Multiply by the reciprocal: 1/2 × 4/3 = 2/3

  17. How many 3/4-cup servings are in 6 cups of rice?

    • A 6 3/4
    • B 8
    • C 4 1/2
    • D 24

    6 ÷ 3/4 = 6 × 4/3 = 8

  18. 3/4 ÷ 1/2 = ?

    • A 3/4
    • B 2/3
    • C 1 1/2
    • D 3/8

    Multiply by the reciprocal: 3/4 × 2/1 = 1 1/2

  19. 2/9 ÷ 2/3 = ?

    • A 1/6
    • B 3
    • C 4/27
    • D 1/3

    Multiply by the reciprocal: 2/9 × 3/2 = 1/3

  20. 2/3 ÷ 1/6 = ?

    • A 1/4
    • B 1/9
    • C 4
    • D 2

    Multiply by the reciprocal: 2/3 × 6/1 = 4

  21. 9/10 ÷ 3/5 = ?

    • A 3/4
    • B 1 1/2
    • C 2/3
    • D 27/50

    Multiply by the reciprocal: 9/10 × 5/3 = 1 1/2

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