Simplify completely: $$ \frac{\frac{1}{x} + \frac{6}{7}}{\frac{1}{x} + \frac{5}{4}} $$ Enter the numerator and denominator separately in the boxes below. If the denominator is 1, enter the number 1. Do not leave either box blank. Make sure that the coefficient on $$x$$ is positive. Answer:
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Step 2: Simplify the numerator: $$ \frac{1}{x} + \frac{6}{7} $$ The common denominator for $x$ and $7$ is $7x$. $$ \frac{1}{x} + \frac{6}{7} = \frac{1 \cdot 7}{x \cdot 7} + \frac{6 \cdot x}{7 \cdot x} = \frac{7}{7x} + \frac{6x}{7x} = \frac{7 + 6x}{7x} $$ Step 3: Show more…
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