№2 Найти значение x, при котором данное равенство верно: 1) x/8 = 15/40 2) 9/x = 36/52 3) 1/8 = 5/x 4) 21/98 = x/14

1) \(\frac{x}{8} = \frac{15}{40}\) \(x = \frac{15 \cdot 8}{40} = \frac{15 \cdot 8}{5 \cdot 8} = \frac{15}{5} = 3\) 2) \(\frac{9}{x} = \frac{36}{52}\) \(x = \frac{9 \cdot 52}{36} = \frac{9 \cdot 52}{9 \cdot 4} = \frac{52}{4} = 13\) 3) \(\frac{1}{8} = \frac{5}{x}\) \(x = 5 \cdot 8 = 40\) 4) \(\frac{21}{98} = \frac{x}{14}\) \(x = \frac{21 \cdot 14}{98} = \frac{21 \cdot 14}{7 \cdot 14} = \frac{21}{7} = 3\)