Basic Math Examples

$\frac{10 b}{6 a b} \div \frac{5 b}{2 a}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{10 b}{6 a b} \cdot \frac{2 a}{5 b}$

Step 2

Cancel the common factor of $5 b$ .

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Step 2.1

Factor $5 b$ out of $10 b$ .

$\frac{5 b (2)}{6 a b} \cdot \frac{2 a}{5 b}$

Step 2.2

Cancel the common factor.

$\frac{5 b \cdot 2}{6 a b} \cdot \frac{2 a}{5 b}$

Step 2.3

Rewrite the expression.

$\frac{2}{6 a b} (2 a)$

Step 3

Cancel the common factor of $2 a$ .

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Step 3.1

Factor $2 a$ out of $6 a b$ .

$\frac{2}{2 a (3 b)} (2 a)$

Step 3.2

Cancel the common factor.

$\frac{2}{2 a (3 b)} (2 a)$

Step 3.3

Rewrite the expression.

$\frac{2}{3 b}$