1. Dividing Fractions 3 4 ÷ 1 8
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2. Let us look at some simple fraction calculations:20
÷ 2 = 10 24
÷ 4 = 6 35
÷ 5 = 7 1 2 1 5 20 x = 10 24 x 1 4 = 6 35 x = 7 1 2 1 3 1 7 5 ÷ = 10 4 ÷ = 12 3 ÷ = 21 5
x 2 = 10 4
x 3 = 12 3
x 7 = 21 2 3 1 2 1 6 15 8 3 4 1 2 2 ÷ = 3 ÷ = 3 ÷ = 2 3 2 15 8 4 3 60 24 5 2 1 2 2 x = 3 1 2 x 6 = 3 x = = = 2
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3. To divide two fractions:
We turn the 2nd fraction upside down and multiply them instead 3 5 3 8 24 6 1
E.g. : ÷ = x = = = 1 4 8 4 5 20 5 5 5 3 5 8 40 20 2 ÷ = x = = = 2 6 8 6 3 18 9 9 a c a d ÷ = x b d b c
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4. To divide two fractions:
We turn the 2nd fraction upside down and multiply them instead 3 3 1 3
E.g. : ÷ 2 = x = 4 4 2 8 6 9 7 63 21 1 9 ÷ = x = = = 10 7 1 6 6 2 2 2 6 12 7 84 14 4 2 ÷ = x = = = 2 5 7 5 6 30 5 5 1 5 16 5 5 25 9 5 ÷ 3 = ÷ = x = = 1 5 1 5 1 16 16 16
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5. To divide two fractions:
We turn the 2nd fraction upside down and multiply them instead 3 3 1 4 3 3 9 1
E.g. : = ÷ = x = = 2 1 4 3 4 1 4 4 3 3 3 3 5 3 1 3 8 = ÷ 5 = ÷ = x = 5 8 8 1 8 5 40
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7. 2 4 2 7 14 7 1 4 1 9 9 3 ÷ = x = = ÷ = x = = 3 7 3 4 12 6 6 9 6 4 24 8 2 2 2 3 6 3 8 2 8 7 56 28 ÷ = x = = ÷ = x = = 5 3 5 2 10 5 3 7 3 2 6 3 2 3 2 4 8 2 5 2 6 12 ÷ = x = ÷ = x = 5 4 5 3 15 5 6 5 5 25 2 2 2 10 20 2 2 2 10 20 ÷ = x = = 2 ÷ = x = = 2 5 10 5 2 10 5 10 5 2 10 4 8 4 15 60 3 2 3 2 10 20 4 ÷ = x = = ÷ = x = = 5 15 5 8 40 2 5 10 5 3 15 3 5 2 5 9 45 15 7 3 7 8 56 ÷ = x = = ÷ = x = 6 9 6 2 12 4 9 8 9 3 27 4 3 4 8 32 7 2 7 3 21 ÷ = x = ÷ = x = 9 8 9 3 27 8 3 8 2 16
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8. 4 6 4 7 28 14 1 3 1 8 8 4 ÷ = x = = ÷ = x = = 3 7 3 6 18 9 6 8 6 3 18 9 4 4 4 9 36 9 9 5 9 6 54 27 ÷ = x = = ÷ = x = = 5 9 5 4 20 5 4 6 4 5 20 10 1 3 1 8 8 1 5 1 7 7 ÷ = x = ÷ = x = 7 8 7 3 21 2 7 2 5 10 2 1 2 6 12 4 1 4 10 40 ÷ = x = = 4 ÷ = x = = 8 3 6 3 1 3 5 10 5 1 5 2 6 2 25 50 5 3 5 3 8 40 8 ÷ = x = = ÷ = x = = 5 25 5 6 30 3 4 8 4 5 15 3 5 3 5 4 20 5 4 5 4 6 24 ÷ = x = = ÷ = x = 8 4 8 3 24 6 7 6 7 5 35 1 7 1 8 8 1 5 1 3 3 ÷ = x = ÷ = x = 7 8 7 7 49 2 3 2 5 10
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9. 5 5 2 5 1 5 ÷ 2 = ÷ = x = 6 6 1 6 2 12 5 5 5 5 9 45 5 ÷ = ÷ = x = = 9 9 1 9 1 5 5 5 5 3 5 1 5 ÷ 3 = ÷ = x = 8 8 1 8 3 24 3 4 3 4 8 32 4 ÷ = ÷ = x = 8 1 8 1 3 3 3 3 6 3 1 3 1 ÷ 6 = ÷ = x = = 7 7 1 7 6 42 14 6 4 6 4 7 28 14 4 ÷ = ÷ = x = = 7 1 7 1 6 6 3
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11. 2 4 2 7 14 7 1 4 1 9 9 3 ÷ = x = = ÷ = x = = 3 7 3 4 12 6 6 9 6 4 24 8 2 2 2 3 6 3 8 2 8 7 56 28 ÷ = x = = ÷ = x = = 5 3 5 2 10 5 3 7 3 2 6 3 2 3 2 4 8 2 5 2 6 12 ÷ = x = ÷ = x = 5 4 5 3 15 5 6 5 5 25 2 2 2 10 20 2 2 2 10 20 ÷ = x = = 2 ÷ = x = = 2 5 10 5 2 10 5 10 5 2 10 4 8 4 15 60 3 2 3 2 10 20 4 ÷ = x = = ÷ = x = = 5 15 5 8 40 2 5 10 5 3 15 3 5 2 5 9 45 15 7 3 7 8 56 ÷ = x = = ÷ = x = 6 9 6 2 12 4 9 8 9 3 27 4 3 4 8 32 7 2 7 3 21 ÷ = x = ÷ = x = 9 8 9 3 27 8 3 8 2 16
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12. 4 6 4 7 28 14 1 3 1 8 8 4 ÷ = x = = ÷ = x = = 3 7 3 6 18 9 6 8 6 3 18 9 4 4 4 9 36 9 9 5 9 6 54 27 ÷ = x = = ÷ = x = = 5 9 5 4 20 5 4 6 4 5 20 10 1 3 1 8 8 1 5 1 7 7 ÷ = x = ÷ = x = 7 8 7 3 21 2 7 2 5 10 2 1 2 6 12 4 1 4 10 40 ÷ = x = = 4 ÷ = x = = 8 3 6 3 1 3 5 10 5 1 5 2 6 2 25 50 5 3 5 3 8 40 8 ÷ = x = = ÷ = x = = 5 25 5 6 30 3 4 8 4 5 15 3 5 3 5 4 20 5 4 5 4 6 24 ÷ = x = = ÷ = x = 8 4 8 3 24 6 7 6 7 5 35 1 7 1 8 8 1 5 1 3 3 ÷ = x = ÷ = x = 7 8 7 7 49 2 3 2 5 10
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13. 5 5 2 5 1 5 ÷ 2 = ÷ = x = 6 6 1 6 2 12 5 5 5 5 9 45 5 ÷ = ÷ = x = = 9 9 1 9 1 5 5 5 5 3 5 1 5 ÷ 3 = ÷ = x = 8 8 1 8 3 24 3 4 3 4 8 32 4 ÷ = ÷ = x = 8 1 8 1 3 3 3 3 6 3 1 3 1 ÷ 6 = ÷ = x = = 7 7 1 7 6 42 14 6 4 6 4 7 28 14 4 ÷ = ÷ = x = = 7 1 7 1 6 6 3
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15. 1 2 3 4
Calculate 4 ÷
[You may shade the shapes below to help you with your answer]
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16. 1 2 3 4
Calculate 4 ÷
[You may shade the shapes below to help you with your answer] 1 2 3 4 9 2 3 4 9 2 4 3 36 6 6 4 ÷ = ÷ = x = =
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18. 7 ÷ = ÷ = = = Bethany uses ⅝ metres of ribbon to wrap up a gift box.
How many identical gift boxes can she wrap using a 7½ metre roll of ribbon? 1 2 5 8 15 2 5 8 15 2 8 5
120 10 12 7 ÷ = ÷ = x = =
Bethany can wrap up 12 such boxes
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