Вычислите: а) 9 5/6 : 6 5/9 ; Б) 3 1/3:10 В) 3,75:(3/8:1 3/7)

а) 9 5/6 : 6 5/9 = (9 * 6 + 5)/6 : (6 * 9 + 5)/9 = (54 + 5)/6 : (54 + 5)/9 = 59/6 : 59/9 = 59/6 * 9/59 = (59 * 9)/(6 * 59) = 9/6 = 3/2.

Ответ: 3/2.

Б) 3 1/3 : 10 = (3 * 3 + 1)/3 : 10 = (9 + 1)/3 : 10 = 10/3 * 1/10 = 10/30 = 1/3.

Ответ: 1/3.

В) 3,75 : (3/8 : 1 3/7) = 375/100 : (3/8 : (1 * 7 + 3)/7) = 375/100 : (3/8 : 10/7) = 15/4 : (3/8 * 7/10) = 15/4 : 21/80 = 15/4 * 80/21 = (15 * 80)/(4 * 21) = (5 * 20)/7 = 100/7.

Ответ: 100/7.