Question

7/18•(-14/7)-(-4/21)•(-11/6)​

Answer 1

1 вариант (если (-11/6) - это неправильная дробь)

7/18 · (-14/7) - (-4/21) · (-11/6) = -1 8/63

1) 7/18 · (-14/7) = -14/18 = -7/9                             (+) · (-) = (-)

2) (-4/21) · (-11/6) = (2·11)/(21·3) = 22/63              (-) · (-) = (+)

3) -7/9 - 22/63 = -49/63 - 22/63 = -71/63 = -1 8/63

Ответ: (-1 целая 8/63).

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

2 вариант (если (-11/6) - это (-1 целая 1/6) = -7/6

7/18 · (-14/7) - (-4/21) · (-1 1/6) = -1

1) 7/18 · (-14/7) = -14/18 = -7/9                                       (+) · (-) = (-)

2) (-4/21) · (-1 1/6) = 4/21 · 7/6 = (2·1)/(3·3) = 2/9           (-) · (-) = (+)

3) -7/9 - 2/9 = -9/9 = -1

Ответ: (-1).

Answer 2

To simplify the expression, you can follow these steps:

1. First, simplify each part of the expression separately:

   a. 7/18 * (-14/7) = (7 * -14) / (18 * 7) = -98 / 126 b. -4/21 * (-11/6) = (4 * 11) / (21 * 6) = 44 / 126

2. Now that you have both parts in the same denominator, you can combine them:

   -98/126 - 44/126

3. Finally, subtract the two fractions:

   (-98 - 44) / 126 = -142 / 126

4. To simplify further, you can divide both the numerator and denominator by their greatest common divisor, which is 14:

   (-142 / 14) / (126 / 14) = -10 / 9

So, the simplified result of the expression is -10/9.