Question

А)(1-5/9 х):1/3=3/5 Б) 5/6 х-1/4 х-2/9 х-3/8=1/24 С решением!

Answer 1

$a)1 - \frac{5}{9} x = \frac{3}{5} \times \frac{1}{3} = \frac{1}{5} \\ \frac{5}{9} x = 1 - \frac{1}{5} = \frac{5}{5} - \frac{1}{5} = \frac{4}{5}$

$x = \frac{4}{5} \div \frac{5}{9} = \frac{4}{5} \times \frac{9}{5} \\ x = \frac{36}{25} = 1 \frac{11}{25}$

Б)

$\frac{5}{6} x - \frac{1}{4} x - \frac{2}{9} x - \frac{3}{8} = \frac{1}{24} \\ \frac{5}{6} x - \frac{1}{4} x - \frac{2}{9} x =$

$= \frac{30}{36}x - \frac{9}{36}x - \frac{8}{36}x = \frac{13}{36} x$

$\frac{13}{36} x - \frac{3}{8} = \frac{1}{24} \\ \frac{13}{36} x = \frac{1}{24} + \frac{3}{8} = \frac{1}{24} + \frac{9}{24} = \frac{10}{24}$

$= \frac{5}{12}$

$x = \frac{5}{12}$

$x = \frac{5}{12} \div \frac{13}{36} = \frac{5}{12} \times \frac{36}{13} = \frac{15}{13} = \\ = 1 \frac{2}{13}$