(17 5/14-29 4/21) * (32,098+5,902):(49 1/7 -30 10/21)

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вопрос

Let's break this down step by step:

First, let's simplify the expression within the parenthesis:
17 5/14 - 29 4/21
= 17 + 5/14 - 29 - 4/21
= -12 9/14 - 4/21
= -12 9/14 - 3/7
= -12 9/14 - 6/14
= -13 1/14

32,098 + 5,902 = 38,000

Now, let's simplify the expression in the second set of parenthesis:
49 1/7 - 30 10/21
= 49 + 1/7 - 30 - 10/21
= 19 1/7 - 10/21
= 19 - 3/21 - 10/21
= 18 18/21 - 10/21
= 18 8/21 = 18 4/7

Now let's put it all together:
(-13 1/14) * (38,000) / (18 4/7)

Now we perform the multiplication:
(-13 1/14) (38,000) = -13 1/14 38,000 = -13 1/14 38,000 = -13 38,000 + 1/14 * 38,000 = -494,000 + 2,714.2857 = -491,285.7143

Now we divide by (18 4/7):
-491,285.7143 / 18 4/7 = -491,285.7143 / 18.5714 = -26,505.8824

Therefore, the final answer is approximately -26,505.8824.