Question

6:4=18:x
36:24=9:m
13:k=2:52​

Answer 1

Ответ:

1) x=12

2) m=6

3) k=338

Пошаговое объяснение:

1)

$6 \div 4 = 18 \div x$

$\frac{6}{4} = \frac{18}{x}$

$\frac{4}{6} = \frac{x}{18}$

$\frac{x}{18} = \frac{4}{6}$

$x = \frac{4 \times 18}{6}$

$x = 4 \times 3$

$x = 12$

Проверка:

$\frac{6}{4} = \frac{18}{12}$

$\frac{6}{4} = \frac{3 \times 6}{3 \times 4}$

$\frac{6}{4} = \frac{6}{4}$

2)

$36 \div 24 = 9 \div m$

$\frac{36}{24} = \frac{9}{m}$

$\frac{24}{36} = \frac{m}{9}$

$\frac{m}{9} = \frac{24}{36}$

$m = \frac{24 \times 9}{36}$

$m = \frac{24}{4}$

$m = 6$

Проверка:

$\frac{6}{9} = \frac{24}{36}$

$\frac{6}{9} = \frac{4 \times 6}{4 \times 9}$

$\frac{6}{9} = \frac{6}{9}$

3)

$13 \div k = 2 \div 52$

$\frac{13}{k} = \frac{2}{52}$

$\frac{k}{13} = \frac{52}{2}$

$k = \frac{52 \times 13}{2}$

$k = 26 \times 13$

$k = 338$

Проверка:

$\frac{338}{13} = \frac{52}{2}$

$26 = 26$