Algebra Examples

$\frac{3 x}{10 a^{3}} \div \frac{1}{5 a^{2}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Rewrite using the commutative property of multiplication.

$5 \frac{3 x}{10 a^{3}} a^{2}$

Step 3

Cancel the common factor of $5$ .

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Step 3.1

Factor $5$ out of $10 a^{3}$ .

$5 \frac{3 x}{5 (2 a^{3})} a^{2}$

Step 3.2

Cancel the common factor.

$5 \frac{3 x}{5 (2 a^{3})} a^{2}$

Step 3.3

Rewrite the expression.

$\frac{3 x}{2 a^{3}} a^{2}$

Step 4

Cancel the common factor of $a^{2}$ .

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Step 4.1

Factor $a^{2}$ out of $2 a^{3}$ .

$\frac{3 x}{a^{2} (2 a)} a^{2}$

Step 4.2

Cancel the common factor.

$\frac{3 x}{a^{2} (2 a)} a^{2}$

Step 4.3

Rewrite the expression.

$\frac{3 x}{2 a}$