Question

(5 8/9: 1 17/36+ 1 1/4):4 1/5 СРООООООООЧНООООО

Answer 1

Ответ во вложении....

Answer 2

To simplify the expression (5 8/9 : 1 17/36 + 1 1/4) : 4 1/5, we need to perform the following steps:

Step 1: Convert mixed numbers to improper fractions. Step 2: Perform the addition and division operations. Step 3: Simplify the result.

Let's break it down:

Step 1: 5 8/9 is equivalent to (9 * 5 + 8) / 9 = 53/9. 1 17/36 is equivalent to (36 * 1 + 17) / 36 = 53/36. 1 1/4 is equivalent to (4 * 1 + 1) / 4 = 5/4. 4 1/5 is equivalent to (5 * 4 + 1) / 5 = 21/5.

So, the expression becomes: (53/9 : (53/36 + 5/4)) : (21/5).

Step 2: Now, let's perform the addition inside the parentheses: 53/36 + 5/4 = (53/36) + (45/36) = (53 + 45) / 36 = 98/36 = 49/18.

So, the expression becomes: (53/9 : (49/18)) : (21/5).

Next, let's perform the division inside the first set of parentheses: 53/9 ÷ (49/18).

To divide fractions, we multiply by the reciprocal of the second fraction: (53/9) * (18/49) = (53 * 18) / (9 * 49) = 954/441.

So, the expression becomes: (954/441) : (21/5).

Step 3: Now, let's divide the remaining fractions: (954/441) ÷ (21/5).

To divide fractions, we multiply by the reciprocal of the second fraction: (954/441) * (5/21) = (954 * 5) / (441 * 21) = 4770/9261.

So, the simplified result of the expression is 4770/9261.

If you want to convert this fraction to a mixed number, you can further simplify it.