Question

(3 3/5•7 7/9-26 4/15):2 1/6=

Answer 1

Пошаговое объяснение:

$(3 \frac{3}{5} \times 7 \frac{7}{9} - 26 \frac{4}{15} ) \div 2 \frac{1}{6} = \frac{4}{5}$

$1)3 \frac{3}{5} \times 7 \frac{7}{9} = \frac{3 + 3 \times 5}{5} \times \frac{7 + 7 \times 9}{9} = \frac{18}{5} \times \frac{70}{9} = \frac{18 \times 70}{5 \times 9} = \frac{1260}{45} = \frac{28 \times 45}{45} = 28$

$2)28 - 26 \frac{4}{15} = 28 - 26 - \frac{4}{15} = 2 - \frac{4}{15} = \frac{2 \times 15}{15} - \frac{4}{15} = \frac{30}{15} - \frac{4}{15} = \frac{30 - 4}{15} = \frac{26}{15} = \frac{1 \times 15 + 11}{15} = 1 \frac{11}{15}$

$3)1 \frac{11}{15} \div 2 \frac{1}{6} = \frac{11 + 1 \times 15}{15} \div \frac{1 + 2 \times 6}{6} = \frac{26}{15} \div \frac{13}{6} = \frac{26}{15} \times \frac{6}{13} = \frac{26 \times 6}{15 \times 13} = \frac{156}{195} = \frac{4 \times 39}{5 \times 39} = \frac{4}{5}$