Question

(24/15-15/12):32/5+64/9:2

Answer 1

Ответ:

4159/1152

Пошаговое объяснение:

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Answer 2

Let's break down the expression step by step:

1. First, perform the calculations inside the parentheses:

(24/15 - 15/12) = (8/5 - 5/4)

2. Now, find a common denominator for these fractions, which is 20. Adjust the fractions:

(8/5 - 5/4) = (32/20 - 25/20)

3. Subtract the fractions:

(32/20 - 25/20) = 7/20

4. Next, deal with the division and addition:

(7/20) : (32/5) + (64/9 : 2)

5. To divide fractions, invert the second fraction and multiply:

(7/20) : (32/5) = (7/20) * (5/32) = (7 * 5) / (20 * 32) = 35/640

6. Now, let's simplify 64/9 divided by 2:

(64/9) : 2 = (64/9) * (1/2) = (64/18) = (32/9)

7. Finally, add the two results:

(35/640) + (32/9)

To add these fractions, you need to find a common denominator, which is the least common multiple of 640 and 9, which is 5760.

Now, convert both fractions to have a denominator of 5760:

(35/640) = (35/640) * (9/9) = (315/5760) (32/9) = (32/9) * (640/640) = (2048/5760)

8. Now, you can add them:

(315/5760) + (2048/5760) = (315 + 2048) / 5760 = 2363/5760

The final result of the expression is 2363/5760, which can be simplified further if needed.