Question

3 5/6 +2×(3 1/6-5/9):3 2/15​

Answer 1

3 5/6 + 2 · (3 1/6 - 5/9) : 3 2/15 = 5 1/2

1) 3 1/6 - 5/9 = 3 3/18 - 10/18 = 2 21/18 - 10/18 = 2 11/18

2) 2 · 2 11/18 = 2 · 47/18 = 47/9 = 5 2/9

3) 5 2/9 : 3 2/15 = 47/9 : 47/15 = 47/9 · 15/47 = 15/9 = 5/3 = 1 2/3

4) 3 5/6 + 1 2/3 = 3 5/6 + 1 4/6 = 4 9/6 = 4 3/2 = 5 1/2

Ответ: 5 целых 1/2 (или 5,5 в десятичных дробях).

Answer 2

Let's break down the expression step by step:

1. Convert Mixed Numbers to Improper Fractions:

   3 5/6 = (3 * 6 + 5) / 6 = 23 / 6 3 1/6 = (3 * 6 + 1) / 6 = 19 / 6 3 2/15 = (3 * 15 + 2) / 15 = 47 / 15

2. Perform Operations Inside Parentheses:

   2 * (19 / 6 - 5 / 9) = 2 * (171 / 54 - 30 / 54) = 2 * (141 / 54) = 47 / 9

3. Perform Division:

   (23 / 6) / (47 / 15) = (23 / 6) * (15 / 47) = (23 * 15) / (6 * 47) = 345 / 282

4. Add the Results:

   47 / 9 + 345 / 282 = (282 * 47 + 9 * 345) / (9 * 282) = (13254 + 3105) / 2538 = 16359 / 2538

So, the final result of the expression is 16359 / 2538. You can leave it in this fractional form or simplify it further if needed.