Basic Math Examples

$\frac{3}{c - 1} \div \frac{6}{3 c - 3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{c - 1} \cdot \frac{3 c - 3}{6}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $6$ .

$\frac{3}{c - 1} \cdot \frac{3 c - 3}{3 (2)}$

Step 2.2

Cancel the common factor.

$\frac{3}{c - 1} \cdot \frac{3 c - 3}{3 \cdot 2}$

Step 2.3

Rewrite the expression.

$\frac{1}{c - 1} \cdot \frac{3 c - 3}{2}$

Step 3

Multiply $\frac{1}{c - 1}$ by $\frac{3 c - 3}{2}$ .

$\frac{3 c - 3}{(c - 1) \cdot 2}$

Step 4

Factor $3$ out of $3 c - 3$ .

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Step 4.1

Factor $3$ out of $3 c$ .

$\frac{3 (c) - 3}{(c - 1) \cdot 2}$

Step 4.2

Factor $3$ out of $- 3$ .

$\frac{3 (c) + 3 (- 1)}{(c - 1) \cdot 2}$

Step 4.3

Factor $3$ out of $3 (c) + 3 (- 1)$ .

$\frac{3 (c - 1)}{(c - 1) \cdot 2}$

Step 5

Cancel the common factor of $c - 1$ .

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Step 5.1

Cancel the common factor.

$\frac{3 (c - 1)}{(c - 1) \cdot 2}$

Step 5.2

Rewrite the expression.

$\frac{3}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$