Найдите значение выражения 1 1/22 *3 2/3 -(2 5/6+3 5/6*7/23)*3/5

[鉛筆超人]

Нужна консультация по заданию 6 класса: - найдите значение выражения 1 1/22 *3 2/3 -(2 5/6+3 5/6*7/23)*3/5

 

[Borrador_Brillante]

1 1/22 * 3 2/3 -(2 5/6 + 3 5/6 * 7/23) * 3/5 = 1 13/30.
1). 3 5/6 * 7/23 = 23/6 * 7/23 = (23 * 7)/(6 * 23) = 161/138 = 7/6 = 1 1/6;
2). 2 5/6 + 1 1/6 = 2 5/6 + 7/6 = 17/6 + 7/6 = 24/6 = 4;
3). 1 1/22 * 3 2/3 = 23/22 * 11/3 = (23 * 11)/(22 * 3) = 253/66 = 23/6 = 3 5/6;
4). 4 * 3/5 = (4 * 3)/5 = 12/5 = 2 2/5;
5). 3 5/6 - 2 2/5 = 23/6 - 12/5 = (23 * 5)/(6 * 5) - (12 * 6)/(5 * 6) = 115/30 - 72/30 = 43/30 = 1 13/30.