Question

417. Найдите значение выражения: A) 3, 5/16+1/4-2, 1/16 б)1/8+2, 3/5+2, 7/8 в)6, 11/12-3, 1/6-1, 1/4 г)3, 7/9-1, 5/18+3, 1/2.​

Answer 1

A)

3, 5/16+1/4-2, 1/16

= 3 + (5/16 + 1/4 - 2) + 1/16

= 3 + (9/16 - 2) + 1/16

= 3 - 13/16 + 1/16

= 3 - 12/16

= 3 - 0.75

= 2.25

Ответ: 2.25

Б)

1/8+2, 3/5+2, 7/8

= (1/8 + 2) + (3/5 + 2) + 7/8

= 28/8 + 23/5 + 7/8

= (28 + 230/40)/8 + 7/8

= 258/40 + 7/8

= 42/8 + 7/8

= 49/8

= 6.125

Ответ: 6.125

В)

6, 11/12-3, 1/6-1, 1/4

= 6 + (11/12 - 3) + (1/6 - 1) + 1/4

= 6 + (11/12 - 36/12) + (1/6 - 6/6) + 1/4

= 6 + (-25/12) + (-5/6) + 1/4

= 6 - 25/12 - 5/6 + 1/4

= 6 - (25 + 20/12)/12 + 1/4

= 6 - 45/12 + 1/4

= 6 - 3.75 + 0.25

= 2.5

Ответ: 2.5

Г)

3, 7/9-1, 5/18+3, 1/2

= 3 + (7/9 - 1) + (5/18 + 3) + 1/2

= 3 + (6/9 - 9/9) + (25/18 + 54/18) + 1/2

= 3 + (-3/9) + (79/18) + 1/2

= 3 - 1/3 + 79/18 + 1/2

= 3 + (78/18 + 1/2)

= 3 + (39/9 + 9/18)

= 3 + (48/18)

= 3 + 2.67

= 5.67

Ответ: 5.67

Обобщенный ответ:

A) (a + b - c + d)/e

Б) (a + b + c)/d

В) (a + b - c - d)/e

Г) (a + b + c + d)/e