Question

2 7/15-(2 2/15-8 1/9)
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Answer 1

$2 \frac{7}{15} - (2 \frac{2}{15} - 8 \frac{1}{9} ) = \frac{2 \times 15 + 7}{15} - ( \frac{2 \times 15 + 2}{15} - \frac{8 \times 9 + 1}{9} ) = \frac{37}{15} - ( \frac{32}{15} - \frac{73}{9} ) = \frac{37}{15} - ( \frac{32 \times 3}{15 \times 3} - \frac{73 \times 5}{9 \times 5} ) = \frac{37}{15} - ( - \frac{ 269}{45} ) = \frac{37}{15} + \frac{269}{45} = \frac{37 \times 3}{15 \times 3} + \frac{269}{45} = \frac{111}{45} + \frac{269}{45} = \frac{111 + 269}{45} = \frac{380}{45} = \frac{76}{9}$