Question

(5 5/6:4+7:5 1/11):1 8/9 - 8/9​

Answer 1

Ответ:

Пошаговое объяснение:

5 5/6:4=35/6*1/4=35/24=1 11/24

7:5 1/11=7*11/56=11/8=1 3/8

1 11/24+1 3/8=1 11/24+1 9/24=2 5/6

2 5/6:1 8/9=17/6*9/17=3/2=1 1/2

1 1/2-8/9=1 9/18-16/18=11/18

Answer 2

Let's solve the expression step by step:

1. First, let's perform the division inside the parentheses: (5 5/6 : 4 + 7 : 5 1/11) : 1 8/9 - 8/9

Dividing fractions: (35/6 : 4 + 70/11) : 1 8/9 - 8/9

2. Now, let's simplify the fractions inside the parentheses: (35/6 : 4 + 70/11) : 1 8/9 - 8/9

Dividing 35/6 by 4: (35/6 * 1/4 + 70/11) : 1 8/9 - 8/9

3. Next, let's calculate the fractions: (35/24 + 70/11) : 1 8/9 - 8/9

To add fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 24 and 11 is 264. So, let's convert both fractions to have a denominator of 264:

(35/24 * 11/11 + 70/11 * 24/24) : 1 8/9 - 8/9 (385/264 + 1680/264) : 1 8/9 - 8/9

4. Now, add the fractions inside the parentheses: (2065/264) : 1 8/9 - 8/9

5. Next, let's deal with the division outside the parentheses: 2065/264 : 1 8/9 - 8/9

To divide by a mixed number, we need to convert it to an improper fraction: 1 8/9 = (1 * 9 + 8)/9 = 17/9

Now, we can perform the division: 2065/264 ÷ 17/9

To divide fractions, we multiply by the reciprocal of the second fraction: 2065/264 * 9/17

6. Multiply the fractions: (2065 * 9) / (264 * 17) = 18585 / 4488

7. Now, let's subtract 8/9 from the result: 18585 / 4488 - 8/9

To subtract fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 4488 and 9 is 4488. So, let's convert both fractions to have a denominator of 4488:

18585/4488 - 8/9 * 496/496

Now, we can perform the subtraction: (18585 - 3968) / 4488

8. Calculate the final result: (14617/4488) ≈ 3.2590378

So, the final result of the expression is approximately 3.259.