Question

6/7*(1.4a-7/3b)-1/2*(0,4a-2b)

Answer 1

Ответ:

6/7  *(1,4a - 7/3  *b) - 1/2  * (0,4a-2b) = 6 * 0,2a - 2b - 0,2a + b = a - b

Answer 2

To simplify the expression 6/7*(1.4a - 7/3b) - 1/2*(0.4a - 2b), we can follow the order of operations (PEMDAS/BODMAS) to evaluate it step by step:

Step 1: Simplify the terms inside the parentheses.

1.4a - 7/3b = (1.4a) - (7/3b) = 1.4a - (7b/3) 0.4a - 2b = (0.4a) - (2b)

Step 2: Distribute the coefficients.

6/7 * (1.4a - 7b/3) - 1/2 * (0.4a - 2b) = (6/7 * 1.4a) - (6/7 * 7b/3) - (1/2 * 0.4a) + (1/2 * 2b)

Step 3: Simplify the products.

(6/7 * 1.4a) = (6 * 1.4 * a) / 7 = (8.4a) / 7 = (6a) / 5 (6/7 * 7b/3) = (6 * 7 * b) / (7 * 3) = 2b (1/2 * 0.4a) = (1 * 0.4 * a) / 2 = (0.4a) / 2 = 0.2a (1/2 * 2b) = (1 * 2 * b) / 2 = b

Step 4: Substitute the simplified products back into the expression.

(6a) / 5 - 2b - 0.2a + b

Step 5: Combine like terms.

(6a - 0.2a) / 5 + (-2b + b) = 5.8a / 5 - b

Therefore, the simplified expression is 5.8a/5 - b.