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When dividing by a fraction the procedure is to invert it and multiply.

So that 4/9 ÷ 1/2 becomes 4/9 x 2/1

And then we multiply the numerators by the numerators (the tops by the tops) and the denominators by the denominator (the bottoms by the bottoms)....

4 x 2 = 8

9 x 1 = 9

Answer 8/9

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