Pre-Algebra Examples

$f (x) = \frac{3 (- 2)}{5 (- 2) - 2}$

Step 1

Rewrite the function as an equation.

$y = \frac{3 (- 2)}{5 (- 2) - 2}$

Step 2

Simplify $\frac{3 (- 2)}{5 (- 2) - 2}$ .

Tap for more steps...

Step 2.1

Cancel the common factor of $- 2$ and $5 (- 2) - 2$ .

Tap for more steps...

Step 2.1.1

Factor $2$ out of $3 (- 2)$ .

$y = \frac{2 (3 \cdot (- 1))}{5 (- 2) - 2}$

Step 2.1.2

Cancel the common factors.

Tap for more steps...

Step 2.1.2.1

Factor $2$ out of $5 (- 2)$ .

$y = \frac{2 (3 \cdot (- 1))}{2 (5 \cdot (- 1)) - 2}$

Step 2.1.2.2

Factor $2$ out of $- 2$ .

$y = \frac{2 (3 \cdot (- 1))}{2 (5 \cdot (- 1)) + 2 (- 1)}$

Step 2.1.2.3

Factor $2$ out of $2 (5 \cdot (- 1)) + 2 (- 1)$ .

$y = \frac{2 (3 \cdot (- 1))}{2 (5 \cdot (- 1) - 1)}$

Step 2.1.2.4

Cancel the common factor.

$y = \frac{2 (3 \cdot (- 1))}{2 (5 \cdot (- 1) - 1)}$

Step 2.1.2.5

Rewrite the expression.

$y = \frac{3 \cdot (- 1)}{5 \cdot (- 1) - 1}$

Step 2.2

Multiply $3$ by $- 1$ .

$y = \frac{- 3}{5 \cdot (- 1) - 1}$

Step 2.3

Simplify the denominator.

Tap for more steps...

Step 2.3.1

Multiply $5$ by $- 1$ .

$y = \frac{- 3}{- 5 - 1}$

Step 2.3.2

Subtract $1$ from $- 5$ .

$y = \frac{- 3}{- 6}$

Step 2.4

Cancel the common factor of $- 3$ and $- 6$ .

Tap for more steps...

Step 2.4.1

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

$y = \frac{- 3 (1)}{- 6}$

Step 2.4.2

Cancel the common factors.

Tap for more steps...

Step 2.4.2.1

Factor $- 3$ out of $- 6$ .

$y = \frac{- 3 \cdot 1}{- 3 \cdot 2}$

Step 2.4.2.2

Cancel the common factor.

$y = \frac{- 3 \cdot 1}{- 3 \cdot 2}$

Step 2.4.2.3

Rewrite the expression.

$y = \frac{1}{2}$