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valentinak56 [21]
3 years ago
5

Which expression is equivalent to the following complex fraction? (pls help me out)​

Mathematics
1 answer:
const2013 [10]3 years ago
3 0

Answer:

B. \frac{-4x + 7}{2(x - 2)}

Step-by-step explanation:

Simplify the given expression to determine its equivalent expression in the given options.

\frac{\frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1}}

\frac{\frac{3}{x - 1} - \frac{4}{1}}{\frac{2}{1} - \frac{2}{x - 1}}

\frac{\frac{3 - 4(x - 1)}{x - 1}}{\frac{2(x - 1) - 2}{x - 1}}

\frac{\frac{3 - 4x + 4}{x - 1}}{\frac{2x - 2 - 2}{x - 1}}

\frac{\frac{-4x + 7}{x - 1}}{\frac{2x - 4}{x - 1}}

\frac{-4x + 7}{x - 1} * \frac{x - 1}{2x - 4}

(x - 1) cancels (x - 1)

\frac{-4x + 7}{1} * \frac{1}{2x - 4}

\frac{(-4x + 7)1}{1(2x - 4)}

\frac{-4x + 7}{2x - 4}

\frac{-4x + 7}{2(x - 2)}

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