Question

Математика 6 клас Тарасенкова богатирьова коломієць сердюк вправа 446

Answer 1

1)

$1 \frac{23}{45} \div (3 \frac{2}{5} - 1 \frac{2}{15} ) = 1 \frac{23}{45} \div (3 \frac{6}{15} - 1 \frac{2}{15} ) = \\ = 1 \frac{23}{45} \div 2 \frac{4}{15} = \frac{68}{45} \div \frac{34}{15} = \frac{68 \times 15}{45 \times 34} = \frac{2}{3}$

2)

$6 \frac{2}{3} \div ( \frac{35}{48} \div \frac{21}{32} ) = \frac{20}{3} \div \frac{35 \times 32}{48 \times 21} = \\ = \frac{20}{3} \div \frac{5 \times 2}{3 \times 3} = \frac{20 \times 9}{3 \times 10} = 2 \times 3 = 6$

3)

$1 \frac{7}{9} \times ( \frac{2}{5} ) {}^{2} \div ( \frac{8}{15} ) {}^{2} = \frac{16}{9} \times \frac{4}{25} \div \frac{8 \times 8}{15 \times 15} = \\ = \frac{16 \times 4 \times 15 \times 15}{9 \times 25 \times 8 \times 8} = 1$