Answer :

Final answer:

To find the fraction that is being taken away from 57, we can set up an equation and solve for the unknown fraction value.

Explanation:

To solve this problem, let's consider the fraction that is being taken away from 57 as x. Since the remaining result exceeds 2/3 of 57 by four, we can write the equation: 57 - x = (2/3) * 57 + 4. We can then solve this equation to find the value of x, which represents the fraction.



Simplifying the equation, we have 57 - x = (2/3) * 57 + 4, which can be rewritten as 57 - x = 38 + 4. Solving for x, we get x = 57 - 42 = 15.



Therefore, the fraction that is being taken away from 57 is 15.

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