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sdtyvbv
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какое задание 3 или другой?


1. 3 1/3

10

2 2/5

2 7/8

2. 10 1/16 × x

3. 1 13/30

4. 12

Пошаговое объяснение:

1.

1. 2 2/15 = 32/15

1 9/16 = 25/16

32/15 × 25/16 = (32×25)/(15×16) = (4×4×2×5×5)/(3×5×4×4) = (2×5)/3 = 10/3 = 3 1/3

2. 5/14 × 28 = (5×28)/14 = (5×2×14)/14 = 5×2 = 10

3. 5 3/5 = 28/5

28/5 × 3/7 = (28×3)/(5×7) = (4×7×3)/(5×7) = (4×3)/5 = 12/5 = 2 2/5

4. 1 7/8 = 15/8

1 1/15 = 16/15

1 7/16 = 23/16

15/8 × 16/15 × 23/16 = (15×16×23)/(8×15×16) = 23/8 = 2 7/8

2. 2. 8 13/16 = 141/16

4 7/12 = 55/12

5 5/6 = 35/6

141/16 x - 55/12 x + 35/6 x = x × (141/16 - 55/12 + 35/6) = x × (141/16 - (55/12 - 35/6)) = x × (141/16 - (55/12 - 70/12)) = x × (141/16 - (-15/12)) = x × (141/16 + 15/12) = x × (141/16 + 5/4) = x × (141/16 + 20/16) = x × (161/16) = 10 1/16 × x

3. 1 1/22 = 23/22

3 2/3 = 11/3

2 5/6 = 17/6

3 5/6 = 23/6

23/22 × 11/3 - (17/6 + 23/6 ×7/23)×3/5 = (23×11)/(22×3) - (17/6 + (23×7)/(6×23)) × 3/5 = (23×11)/(2×11×3) - (17/6 + 7/6)×3/5 = 23/6 -(24/6)×3/5 = 23/6 - (24×3)/(6×5) = 23/6 - (6×4×3)/(6×5) = 23/6 - 12/5 = 115/30 - 72/30 = (115 - 72)/30 = 43/30 = 1 13/30

4. 3 3/7 = 24/7

2 2/13 = 28/13

2 1/7 = 15/7

24/7 × 28/13 + 15/7 × 28/13 = 28/13 × (24/7 + 15/7) = 28/13 × 39/7 = (28×39)/(13×7) = (4 × 7 × 13 × 3)/(13×7) = 4×3 = 12

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