Question

(2. 1/3+3,5):(4.1/6+3,25)+2 4/11​

Answer 1

Ответ:

11 1/8

Пошаговое объяснение:

Answer 2

To solve the expression (2 1/3 + 3.5) ÷ (4 1/6 + 3.25) + 2 4/11, we need to follow the order of operations (PEMDAS/BODMAS).

First, let's convert the mixed numbers into improper fractions:

2 1/3 = (2 * 3 + 1) / 3 = 7/3 4 1/6 = (4 * 6 + 1) / 6 = 25/6 2 4/11 = (2 * 11 + 4) / 11 = 26/11

Now, let's solve the expression step by step:

Step 1: Evaluate the addition inside the parentheses: (7/3 + 3.5) ÷ (25/6 + 3.25) + 26/11

Step 2: Add the fractions: (7/3 + 3.5) ÷ (25/6 + 13/4) + 26/11

To add the fractions, we need to find a common denominator for the fractions 3, 6, and 4. The least common multiple (LCM) of 3, 6, and 4 is 12.

(7/3 + 3.5) ÷ (25/6 + 13/4) + 26/11 = (7/3 + 10/2) ÷ (25/6 + 39/12) + 26/11 = (14/6 + 30/6) ÷ (50/12 + 39/12) + 26/11 = 44/6 ÷ 89/12 + 26/11 = (44/6) ÷ (89/12) + 26/11

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

= (44/6) * (12/89) + 26/11 = 528/534 + 26/11 = (528/534) + (286/534) = 814/534

Step 3: Simplify the fraction:

814/534 = 407/267

Step 4: Add the fraction 407/267 to 26/11:

407/267 + 26/11

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 267 and 11 is 2937.

= (407/267) + (702/267) = 1109/267

Step 5: Add 1109/267 to 2:

1109/267 + 2

To add a fraction to a whole number, we convert the whole number into a fraction with the same denominator:

= (1109/267) + (2 * 267/267) = (1109/267) + (534/267) = 1643/267

So, the final result is 1643/267.