(24 4/25(дробь) -x)-17 6/25(дробь) =2 23/25(дробь)

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вопрос

To solve this equation, we need to first simplify the fractions on both sides.

24 4/25 = 24 + 4/25 = 24 1/6 = 145/6
17 6/25 = 17 + 6/25 = 17 6/25 = 431/25
2 11/25 = 2 + 23/25 = 53/25

Therefore, the equation becomes:

145/6 - x - 431/25 = 53/25

To solve for x, we need to find a common denominator for all fractions, which is 150.

Multiplying each fraction by the appropriate factor to get the common denominator:

(145/6) 25/25 - (431/25) 6/6 - x = (53/25) * 6/6
(3625/150) - (2586/150) - x = 318/150
(3625 - 2586)/150 - x = 318/150
1039/150 - x = 53/25

Now, we want to get x by itself, so we add 1039/150 to both sides:

x = 1039/150 - 53/25
x = (10395 - 536) / (150*5)
x = (5195 - 318) / 750
x = 4877 / 750

Therefore, the final solution is:

x = 4877/750 or 6 227/750