Simplify 3/(5x^2)*(7x)/10

$\frac{3}{5 x^{2}} \cdot \frac{7 x}{10}$

Step 1

Simplify terms.

Combine.

$\frac{3 (7 x)}{5 x^{2} \cdot 10}$

Cancel the common factor of $x$ and $x^{2}$ .

Factor $x$ out of $3 (7 x)$ .

$\frac{x (3 \cdot (7))}{5 x^{2} \cdot 10}$

Cancel the common factors.

Factor $x$ out of $5 x^{2} \cdot 10$ .

$\frac{x (3 \cdot (7))}{x (5 x \cdot 10)}$

Cancel the common factor.

$\frac{x (3 \cdot (7))}{x (5 x \cdot 10)}$

Rewrite the expression.

$\frac{3 \cdot (7)}{5 x \cdot 10}$

$\frac{3 \cdot (7)}{5 x \cdot 10}$

$\frac{3 \cdot (7)}{5 x \cdot 10}$

$\frac{3 \cdot (7)}{5 x \cdot 10}$

Step 2

Multiply $3$ by $7$ .

$\frac{21}{5 x \cdot 10}$

Step 3

Multiply $10$ by $5$ .

$\frac{21}{50 x}$

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