Найдите значение выражения: а)3 5/16+1/4-2 1/16; б)1/8+2 3/5+2 7/8​

1. 3 5/16 + 1/4 - 2 1/16 = 1 1/2.
1) 3 5/16 + 1/4 = 3 5/16 + (1 * 4)/(4 * 4) = 3 5/16 + 4/16 = 3 + (5 + 4)/16 = 3 9/16;
2) 3 9/16 - 2 1/16 = 3 - 2 + 9/16 - 1/16 = 1 + (9 - 1)/16 = 1 + 8/16 = 1 + 8/(8 * 2) = 1 1/2.
2. 1/8 + 2 3/5 + 2 7/8 = 5 3/5.
1) 1/8 + 2 3/5 = 2 + (1 * 5)/(8 * 5) + (3 * 8)/(5 * 8) = 2 + 5/40 + 24/40 = 2 29/40;
2) 2 29/40 + 2 7/8 = 2 + 2 + 29/40 + (7 * 5)/(8 * 5) = 4 + 29/40 + 35/40 = 4 + 64/40 = 4 + 1 24/40 = 4 + 1 3/5 = 5 3/5.

ответ:1 8/16

Пошаговое объяснение:

3 5/16+ 4/16- 2 1/6= 1 8/16