Evaluate
\frac{g-7}{6\left(g-5\right)}
Expand
\frac{g-7}{6\left(g-5\right)}
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\frac{\left(g+4\right)\left(g-7\right)}{\left(g-5\right)\left(6g+24\right)}
Divide \frac{g+4}{g-5} by \frac{6g+24}{g-7} by multiplying \frac{g+4}{g-5} by the reciprocal of \frac{6g+24}{g-7}.
\frac{\left(g-7\right)\left(g+4\right)}{6\left(g-5\right)\left(g+4\right)}
Factor the expressions that are not already factored.
\frac{g-7}{6\left(g-5\right)}
Cancel out g+4 in both numerator and denominator.
\frac{g-7}{6g-30}
Expand the expression.
\frac{\left(g+4\right)\left(g-7\right)}{\left(g-5\right)\left(6g+24\right)}
Divide \frac{g+4}{g-5} by \frac{6g+24}{g-7} by multiplying \frac{g+4}{g-5} by the reciprocal of \frac{6g+24}{g-7}.
\frac{\left(g-7\right)\left(g+4\right)}{6\left(g-5\right)\left(g+4\right)}
Factor the expressions that are not already factored.
\frac{g-7}{6\left(g-5\right)}
Cancel out g+4 in both numerator and denominator.
\frac{g-7}{6g-30}
Expand the expression.
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