Question

0,9 •[3:2,25 - 1/8• (1 2/3 + 1/9)] - 4/7 :0,8 ​

Answer 1

Ответ:

ровно

Пошаговое объяснение:

Answer 2

To simplify the expression, let's break it down step by step:

1. Start with the innermost parentheses: (1 2/3 + 1/9) = (5/3 + 1/9) = (45/27 + 3/27) = 48/27

2. Next, simplify the fraction multiplied by the whole number: 1/8 • (48/27) = (1/8) • (48/27) = 48/216

3. Simplify the fraction inside the square brackets: 3:2,25 = 3/(2 + 0.25) = 3/(2.25) = 3/2.25

4. Convert the decimal to a fraction: 0.8 = 8/10 = 4/5

5. Simplify the division: 4/7 : (4/5) = (4/7) • (5/4) = 20/28 = 5/7

6. Simplify the multiplication: 0.9 • (3/2.25 - 48/216) = 0.9 • (3/2.25 - 48/216) = 0.9 • (648/486 - 48/216)

7. Simplify the fractions inside the brackets: 648/486 = (2 * 324)/(3 * 162) = 2/3

   48/216 = (6 * 8)/(6 * 36) = 8/36 = 2/9

8. Substitute the fractions back into the expression: 0.9 • (2/3 - 2/9) = 0.9 • (6/9 - 2/9) = 0.9 • 4/9 = 0.36

Therefore, the result of the expression is 0.36.