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Exercise

$\frac{3x}{2x+4}.\frac{2x}{4}$

Step-by-step Solution

1

Multiplying fractions $\frac{3x}{2x+4} \times \frac{2x}{4}$

$\frac{3\cdot 2x\cdot x}{4\left(2x+4\right)}$
2

Multiply $3$ times $2$

$\frac{6x\cdot x}{4\left(2x+4\right)}$
3

Take $\frac{6}{4}$ out of the fraction

$\frac{\frac{3}{2}x\cdot x}{2x+4}$
4

When multiplying two powers that have the same base ($x$), you can add the exponents

$\frac{6x^2}{4\left(2x+4\right)}$
5

Cancel the fraction's common factor $2$

$\frac{3x^2}{2\left(2x+4\right)}$

Final answer to the exercise

$\frac{3x^2}{2\left(2x+4\right)}$

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