Question

(9 ¼-8 ⅔)×1 ⁵/⁷+(4 ²/⁹-2 ⁵/⁶)÷1 ⅑

Answer 1

Ответ:

$2 \frac{1}{4} .2.25( \frac{3}{2} ) {}^{2}$

Answer 2

To solve the expression, let's simplify each operation step by step:

Step 1: Subtract 8 ⅔ from 9 ¼. 9 ¼ - 8 ⅔ = 9.25 - 8.6666 (rounded to 4 decimal places) = 0.5834 (rounded to 4 decimal places)

Step 2: Simplify the exponentiation. 1 ⁵/⁷ = 1.7143 (rounded to 4 decimal places)

Step 3: Subtract 2 ⁵/⁶ from 4 ²/⁹. 4 ²/⁹ - 2 ⁵/⁶ = 4.2222 - 2.8333 (rounded to 4 decimal places) = 1.3889 (rounded to 4 decimal places)

Step 4: Simplify the division. 1 ⅑ = 0.5556 (rounded to 4 decimal places)

Step 5: Perform the remaining additions and multiplications. (0.5834 × 1.7143) + (1.3889 ÷ 0.5556) = 1.0001 + 2.5000 = 3.5001

Therefore, the final result of the expression (9 ¼ - 8 ⅔) × 1 ⁵/⁷ + (4 ²/⁹ - 2 ⁵/⁶) ÷ 1 ⅑ is approximately 3.5001.