Question

Как решить этот пример 2 5/7 x : 2 8/9 = 4 2/13 : 1 9/10

Answer 1

$2 \frac{5}{7} x \div 2 \frac{8}{9} = 4 \frac{2}{13} \div 1 \frac{9}{10} \\ 2 \frac{5}{7} x \div 2 \frac{8}{9} = \frac{54 \times 10}{13 \times 19} \\ 2 \frac{5}{7}x = \frac{54 \times 10 \times 26}{13 \times 19 \times 9} \\ x = \frac{6 \times 10 \times 2}{19} \div 2 \frac{5}{7} \\ x = \frac{6 \times 10 \times 2 \times 7}{19 \times 19} \\ x = \frac{840}{361} \\ x = 2 \frac{118}{361}$