Question

15/29+(14/29-2/3)(1 7/25+8/9)-7/25​

Answer 1

Ответ:

1. 1/3 2. 17/9

Answer 2

To simplify the expression:

1. Start by finding a common denominator for the fractions in the expression, which is 29 for the first part of the expression and 3 for the second part.
2. Calculate each part of the expression separately.
3. Combine the results to get the final answer.

Let's break it down step by step:

First part: 15/29

Second part: (14/29 - 2/3) = [(14/29) - (2/3)] = [(14/29) - (18/29)] = (-4/29)

Third part: (1 7/25 + 8/9) = [(25/25 + 7/25) + (200/225 + 25/225)] = [(32/25) + (225/225 + 25/225)] = [(32/25) + (250/225)] = [(32/25) + (10/9)]

Now, find a common denominator for the third part, which is 225:

(32/25) + (10/9) = [(32/25) * (9/9)] + [(10/9) * (25/25)] = (288/225) + (250/225)

Now, add the third part to the second part:

(-4/29) + [(288/225) + (250/225)] = (-4/29) + (538/225)

Now, add the first part:

(15/29) + (-4/29) + (538/225) = (15 - 4)/29 + (538/225) = 11/29 + (538/225)

To add these two fractions together, you need a common denominator, which is the least common multiple of 29 and 225, which is 29 * 225 = 6525.

Now, convert both fractions to have a common denominator of 6525:

(11/29) * (225/225) + (538/225) * (29/29) = (11 * 225)/(29 * 225) + (538 * 29)/(225 * 29)

Now, add the fractions:

(2475/6525) + (15602/6525) = (2475 + 15602)/6525

Now, calculate the numerator:

(2475 + 15602) = 18077

So, the final answer is:

18077/6525, which can be simplified further if necessary.