Question

Верно ли равенство(С РЕШЕНИЕМ) а) 1/7:3/4=1/14:3/8

б)2/3:4/5=1/3:2/5

в)1 1/2:5=3:10

г)1 4/5:2=10:9

Answer 1

$a) \frac{1}{7} \div \frac{3}{4} = \frac{1}{14} \div \frac{3}{8} \\ \frac{1}{7} \times \frac{4}{3} = \frac{1}{14} \times \frac{8}{3} \\ \frac{4}{21} = \frac{4}{21}$

равенство верное

б)

$\frac{2}{3 } \div \frac{4}{5} = \frac{1}{3} \div \frac{2}{5} \\ \frac{2}{3} \times \frac{5}{4} = \frac{1}{3} \times \frac{5}{2} \\ \frac{10}{12} = \frac{5}{6} \\ \frac{5}{6} = \frac{5}{6}$

верно

в)

$\frac{3}{2} \div 5 = \frac{3}{10} \\ \frac{3}{2} \times \frac{1}{5} = \frac{3}{10} \\ \frac{3}{10} = \frac{3}{10}$

верно

г)

$\frac{9}{4} \div 2 = \frac{10}{9} \\ \frac{9}{4} \times \frac{1}{2} = \frac{10}{9} \\ \frac{9}{8} = \frac{10}{9} \\ 1 \frac{1}{8} = 1 \frac{1}{9}$

неверно