Question

Вычеслите:6/19*(1/6+5/8)-1)8​

Answer 1

Ответ: -10/19

Пошаговое объяснение:

6/19•(19/24-1)•8

6/19•(-5/24)•8

-1/19•5/4•8

-1/19•5•2

-10:19

Answer 2

To calculate the expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's solve the expression step by step:

1. First, simplify the expression inside the parentheses: 1/6 + 5/8 = (4/24) + (15/24) = 19/24

2. Next, the expression becomes: 6/19 * (19/24) - 1/8

3. Now, multiply the fractions: 6/19 * 19/24 = (6 * 19) / (19 * 24) = 114 / 456 = 19 / 76

4. The expression is now: 19/76 - 1/8

5. To subtract fractions, they need a common denominator, which is 8 * 76 = 608: (19/76) * (8/8) - (1/8) * (76/76) = (152/608) - (76/608) = (152 - 76) / 608 = 76 / 608

6. Finally, simplify the fraction: 76 / 608 = 1 / 8

So, the result of the expression is 1/8.