Вопрос:

Вычислите: (6/5 - 3/4) * 2/3.

Фотография

Ответ ассистента

1. $(6/5 - 3/4) \cdot 2/3 = (24/20 - 15/20) \cdot 2/3 = 9/20 \cdot 2/3 = 18/60 = 3/10$ 2. $(6/5 - 2/3) \cdot 1/2 = (18/15 - 10/15) \cdot 1/2 = 8/15 \cdot 1/2 = 8/30 = 4/15$ 3. $11/18 - 4/9 \cdot 3/16 = 11/18 - (4 \cdot 3)/(9 \cdot 16) = 11/18 - 12/144 = 11/18 - 1/12 = 22/36 - 3/36 = 19/36$ 4. $29/30 - 5/18 \cdot 6/25 = 29/30 - (5 \cdot 6)/(18 \cdot 25) = 29/30 - 30/450 = 29/30 - 1/15 = 29/30 - 2/30 = 27/30 = 9/10$ 5. $8/5 \cdot (3/4 + 11/8) = 8/5 \cdot (6/8 + 11/8) = 8/5 \cdot 17/8 = 17/5 = 3 \, 2/5$ 6. $18/7 \cdot (4/9 + 15/18) = 18/7 \cdot (8/18 + 15/18) = 18/7 \cdot 23/18 = 23/7 = 3 \, 2/7$ 7. $8/5 \cdot 3/4 + 11/8 = (2 \cdot 3)/5 + 11/8 = 6/5 + 11/8 = 48/40 + 55/40 = 103/40 = 2 \, 23/40$ 8. $2 \, 4/9 : (2/3 - 2/7) = 22/9 : (14/21 - 6/21) = 22/9 : 8/21 = 22/9 \cdot 21/8 = (11 \cdot 7)/(3 \cdot 4) = 77/12 = 6 \, 5/12$ 9. $1 \, 5/6 : (2/3 - 2/7) = 11/6 : (14/21 - 6/21) = 11/6 : 8/21 = 11/6 \cdot 21/8 = (11 \cdot 7)/(2 \cdot 8) = 77/16 = 4 \, 13/16$ 10. $2/7 + 3/8 : 7/32 = 2/7 + 3/8 \cdot 32/7 = 2/7 + (3 \cdot 4)/7 = 2/7 + 12/7 = 14/7 = 2$ 11. $35/24 : 15/32 - 3 = 35/24 \cdot 32/15 - 3 = (7 \cdot 4)/(3 \cdot 3) - 3 = 28/9 - 27/9 = 1/9$

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