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\frac{2x^{2}+14x}{8x^{2}\left(10x+70\right)}
Express \frac{\frac{2x^{2}+14x}{8x^{2}}}{10x+70} as a single fraction.
\frac{2x\left(x+7\right)}{8\times 10\left(x+7\right)x^{2}}
Factor the expressions that are not already factored.
\frac{1}{4\times 10x}
Cancel out 2x\left(x+7\right) in both numerator and denominator.
\frac{1}{40x}
Expand the expression.
\frac{2x^{2}+14x}{8x^{2}\left(10x+70\right)}
Express \frac{\frac{2x^{2}+14x}{8x^{2}}}{10x+70} as a single fraction.
\frac{2x\left(x+7\right)}{8\times 10\left(x+7\right)x^{2}}
Factor the expressions that are not already factored.
\frac{1}{4\times 10x}
Cancel out 2x\left(x+7\right) in both numerator and denominator.
\frac{1}{40x}
Expand the expression.