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\frac{\left(x+2\right)\times 10x}{5x\left(7x+4\right)}
Divide \frac{x+2}{5x} by \frac{7x+4}{10x} by multiplying \frac{x+2}{5x} by the reciprocal of \frac{7x+4}{10x}.
\frac{2\left(x+2\right)}{7x+4}
Cancel out 5x in both numerator and denominator.
\frac{2x+4}{7x+4}
Use the distributive property to multiply 2 by x+2.
\frac{\left(x+2\right)\times 10x}{5x\left(7x+4\right)}
Divide \frac{x+2}{5x} by \frac{7x+4}{10x} by multiplying \frac{x+2}{5x} by the reciprocal of \frac{7x+4}{10x}.
\frac{2\left(x+2\right)}{7x+4}
Cancel out 5x in both numerator and denominator.
\frac{2x+4}{7x+4}
Use the distributive property to multiply 2 by x+2.