Question

Вычислите:1) (-8 3/8+7 1/6)*(-2 14/29)​

Answer 1

Ответ:

3

Пошаговое объяснение:

(-8 3/8+7 1/6)*(-2 14/29)

разберем первую скобку, вычтем из первого второй и запишем ответ с минусом так как отрицательный больше чем положительный

8 3/8 - 7 1/6 = -1 5/24

теперь умножаем

-1 5/24 * (-2 14/29) = 29/24 * 72/29

умножаем числители и знаменатели

29*72 = 2088

24*29 = 696

делим первое на второй

2088/696 = 3

Answer 2

To compute the expression (-8 3/8 + 7 1/6) * (-2 14/29), follow these steps:

Step 1: Convert mixed numbers to improper fractions.

-8 3/8 can be rewritten as - (8 * 8 + 3) / 8 = -67 / 8 7 1/6 can be rewritten as (7 * 6 + 1) / 6 = 43 / 6 -2 14/29 can be rewritten as - (2 * 29 + 14) / 29 = - 72 / 29

Step 2: Perform the arithmetic operation.

(-67 / 8 + 43 / 6) * (-72 / 29)

Step 3: Find a common denominator for the fractions.

The least common multiple (LCM) of 8, 6, and 29 is 696.

Step 4: Convert the fractions to the common denominator.

(-67 * 87 + 43 * 116 -72 * 24) / 696

Step 5: Perform the operations in the numerator.

(-5829 + 4988 - 1728) / 696

Step 6: Simplify the expression in the numerator.

(-2569) / 696

Step 7: Reduce the fraction if possible.

The fraction is already in its simplest form.

So, the final result is: (-2569) / 696 ≈ -3.688953+