Сократите дроби: 1) 27*125/75*54 2) 42*50/100*480

Сократим дроби:

1) (27 * 125) / (75 * 54) = 27/54 * 125/75 = 27 / (27 * 2) * (25 * 5) / (25 * 3);

Сократим дроби на 27 и 25. Получаем:

27 / (27 * 2) * (25 * 5) / (25 * 3) = 1 / (1 * 2) * (1 * 5) / (1 * 3) = 1/2 * 5/3 = 1 * 5 / (2 * 3) = 5/6;

2) (42 * 50) / (100 * 480) = 50/100 * 42/480 = 5/10 * 42/480 = 1/2 * 42/480 = 1/2 * (21 * 2) / (2 * 240) = 1/2 * 21/240 = 1/2 * (3 * 7) / (3 * 80) = 1/2 * 7/80 = 1 * 7 / (2 * 80) = 7/160.