Question

2 1/3:(x-1 1/6)=1 5/9

Answer 1

$2 \frac{1}{3} \div (x - 1 \frac{1}{6} ) = 1 \frac{5}{9} \\ \\ \frac{7}{ 3} \div (x - \frac{7}{6} ) = \frac{14}{9} \\ \\ \frac{7}{3} \div \frac{6x - 7}{6} = \frac{14}{9} \\ \\ \frac{7}{3} \times \frac{6}{6x - 7} = \frac{14}{9} \\ \\ 7 \times \frac{2}{6x - 7} = \frac{14}{9} \\ \\ \frac{14}{6x - 7} = \frac{14}{9} \\ \\ 6x - 7 = 9 \\ 6x = 9 + 7 \\ 6x = 16 \\ \\ \\ x = \frac{8}{3} = 2 \frac{2}{3}$

Answer 2

2 1/3:(x-1 1/6)=1 5/9

x - 1 1/6 = 2 1/3 : 1 5/9

x - 1 1/6 = 7/3 * 9/14

x - 1 1/6 = 3/2

x = 3/2 + 1 1/6

x = 9/6 + 1 1/6

x = 1 10/6

x = 2 4/6 = 2 2/3

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