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Convert the mixed numbers to improper fractions.
1 2/3 = 5/3
2 7/9 = 25/9

5/3 ÷ x = 25/9
5/3 = (25/9)x

Multiply both sides by 9/25
5/3 * 9/25 = x
x = (5*9)/(3*25) = 3/5

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