Question

(1/2+5/6-7/9):1 2/3/15:2,4-6 1/36+

Answer 1

Ответ к первому 1/81

Ответ ко второму -2 1/36

Answer 2

To simplify the expression (1/2 + 5/6 - 7/9) ÷ (1 2/3) / (15:2,4 - 6 1/36+), let's break it down step by step.

Step 1: Simplify the numerator of the fraction (1/2 + 5/6 - 7/9): First, find a common denominator for the three fractions: 2, 6, and 9. The common denominator is 18. Now, convert each fraction to have a denominator of 18: (1/2) * (9/9) = 9/18 (5/6) * (3/3) = 15/18 (7/9) * (2/2) = 14/18

Combine the numerators: 9/18 + 15/18 - 14/18 = 10/18

Step 2: Simplify the denominator of the fraction (1 2/3): To simplify the mixed number (1 2/3), convert it to an improper fraction: 1 2/3 = (3/3 * 1) + 2/3 = 3/3 + 2/3 = 5/3

Step 3: Simplify the fraction (15:2,4 - 6 1/36+): First, simplify the division operation (15:2,4) by dividing 15 by 2.4: 15 ÷ 2.4 ≈ 6.25

Next, simplify the subtraction operation (6 1/36+) by subtracting 6 from 6 1/36: 6 1/36 - 6 = 1/36

Now, we have (1/2 + 5/6 - 7/9) ÷ (5/3) / (6.25 - 1/36).

Step 4: Simplify the division operation (1/2 + 5/6 - 7/9) ÷ (5/3): To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (10/18) * (3/5) = (10 * 3) / (18 * 5) = 30/90 = 1/3

Step 5: Simplify the subtraction operation (6.25 - 1/36): To subtract a fraction from a decimal number, we need to convert the decimal to a fraction: 6.25 = 6 1/4 = (6 * 4 + 1) / 4 = 25/4

Now, we have 1/3 ÷ (25/4).

Step 6: Simplify the division operation 1/3 ÷ (25/4): To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (1/3) * (4/25) = (1 * 4) / (3 * 25) = 4/75

Therefore, the simplified expression is 4/75.