Question

Efectuati:1intreg7/15×10/11÷1intreg7/9;2intregi11/12×9/5÷7intregi7/8

Answer 1

$1 \frac{7}{15} \times \frac{10}{11} \div 1 \frac{7}{9} \div 2 \frac{11}{12} \times \frac{9}{5} \div 7 \frac{7}{8}$

$= \frac{1 \times 15 + 7}{15} \times \frac{10}{11} \div \frac{1 \times 9 + 7}{9} \div \frac{2 \times 12 + 11}{12} \times \frac{9}{5} \div \frac{7 \times 8 + 7}{8}$

$= \frac{22}{15} \times \frac{10}{11} \div \frac{16}{9} \div \frac{35}{12} \times \frac{9}{5} \div \frac{63}{8}$

$= \frac{22}{15} \times \frac{10}{11} \times \frac{9}{16} \times \frac{12}{35} \times \frac{9}{5} \times \frac{8}{63}$

$= \frac{2}{3} \times 2 \times \frac{9}{4} \times \frac{3}{35} \times \frac{1}{5} \times \frac{8}{7}$

$= 2 \times \frac{3}{2} \times \frac{3}{35} \times \frac{1}{5} \times \frac{8}{7}$

$= 3 \times \frac{3}{35} \times \frac{1}{5} \times \frac{8}{7}$

$= \frac{3 \times 3 \times 1 \times 8}{35 \times 5 \times 7}$

$= \frac{72}{1225}$