Question

1/3(2a-9) - 1/2(5b + 4) при a=4 целые 1/2, b=4/15

Answer 1

Ответ:

Пошаговое объяснение:

Раскроем скобки и приведём подобные слагаемые:

= 1/3 · 2а - 1/3 · 9 - 1/2 · 5b - 1/2 · 4 = (2/3)a - 3 - (5/2)b - 2 =

= (2/3)a - (5/2)b - 5

при а = 4 целых 1/2 = 9/2 и b 4/15

2/3 · 9/2 - 5/2 · 4/15 - 5 = 9/3 - 2/3 - 5 = (3 - 5) - 2/3 = - 2 целых 2/3

Ответ: - 2 целых 2/3

Answer 2

To calculate the expression 1/3(2a-9) - 1/2(5b + 4) when a = 4 (integer) and b = 4/15, follow these steps:

Step 1: Substitute the values of a and b into the expression.

For a = 4: 1/3(2a-9) - 1/2(5b + 4) 1/3(2 * 4 - 9) - 1/2(5 * (4/15) + 4)

Step 2: Perform the calculations inside the parentheses.

1/3(8 - 9) - 1/2(20/15 + 4) 1/3(-1) - 1/2(20/15 + 60/15) -1/3 - 1/2(80/15)

Step 3: Calculate the fraction inside the second parentheses.

-1/3 - 1/2(80/15) -1/3 - 40/30

Step 4: Convert -1/3 to have a common denominator with 40/30 (which is 30).

-1/3 = -10/30

Now we have:

-10/30 - 40/30 = -50/30

Step 5: Simplify the fraction.

-50/30 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 10.

-50/30 = -5/3

So, when a = 4 (integer) and b = 4/15, the expression 1/3(2a-9) - 1/2(5b + 4) equals -5/3.