Basic Math Examples

$\frac{3 c}{5 b c} \div \frac{12 c}{15 b}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3 c}{5 b c} \cdot \frac{15 b}{12 c}$

Step 2

Cancel the common factor of $3 c$ .

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Step 2.1

Factor $3 c$ out of $12 c$ .

$\frac{3 c}{5 b c} \cdot \frac{15 b}{3 c (4)}$

Step 2.2

Cancel the common factor.

$\frac{3 c}{5 b c} \cdot \frac{15 b}{3 c \cdot 4}$

Step 2.3

Rewrite the expression.

$\frac{1}{5 b c} \cdot \frac{15 b}{4}$

Step 3

Cancel the common factor of $5 b$ .

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Step 3.1

Factor $5 b$ out of $5 b c$ .

$\frac{1}{5 b (c)} \cdot \frac{15 b}{4}$

Step 3.2

Factor $5 b$ out of $15 b$ .

$\frac{1}{5 b (c)} \cdot \frac{5 b (3)}{4}$

Step 3.3

Cancel the common factor.

$\frac{1}{5 b c} \cdot \frac{5 b \cdot 3}{4}$

Step 3.4

Rewrite the expression.

$\frac{1}{c} \cdot \frac{3}{4}$

Step 4

Multiply $\frac{1}{c}$ by $\frac{3}{4}$ .

$\frac{3}{c \cdot 4}$

Step 5

Move $4$ to the left of $c$ .

$\frac{3}{4 c}$