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Algebra
Question

In a certain fraction, the denominator is \(6\) m...

In a certain fraction, the denominator is \(6\) more than the numerator. If \(3\) is added to both the numerator and the denominator, the resulting fraction is equivalent to \(\frac { 5 } { 7 }\) . What was the original fraction (not written in lowest terms)?

Answer

\(x \text { represents the original numerator; } \frac { x + 3 } { ( x + 6 ) + 3 } = \frac { 5 } { 7 } ; \frac { 12 } { 18 }\)

Solution
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