Basic Math Examples

$\frac{8 \cdot y + 9 \cdot (- 8 y) - 9}{7 \cdot y + 3 \cdot (- 7 y) - 3}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Multiply $9$ by $- 8$ .

$\frac{8 y - 72 y - 9}{7 \cdot y + 3 \cdot - 7 y - 3}$

Step 1.2

Subtract $72 y$ from $8 y$ .

$\frac{- 64 y - 9}{7 \cdot y + 3 \cdot - 7 y - 3}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Multiply $3$ by $- 7$ .

$\frac{- 64 y - 9}{7 y - 21 y - 3}$

Step 2.2

Subtract $21 y$ from $7 y$ .

$\frac{- 64 y - 9}{- 14 y - 3}$

Step 3

Simplify terms.

Tap for more steps...

Step 3.1

Factor $- 1$ out of $- 64 y$ .

$\frac{- (64 y) - 9}{- 14 y - 3}$

Step 3.2

Rewrite $- 9$ as $- 1 (9)$ .

$\frac{- (64 y) - 1 (9)}{- 14 y - 3}$

Step 3.3

Factor $- 1$ out of $- (64 y) - 1 (9)$ .

$\frac{- (64 y + 9)}{- 14 y - 3}$

Step 3.4

Rewrite $- (64 y + 9)$ as $- 1 (64 y + 9)$ .

$\frac{- 1 (64 y + 9)}{- 14 y - 3}$

Step 3.5

Factor $- 1$ out of $- 14 y$ .

$\frac{- 1 (64 y + 9)}{- (14 y) - 3}$

Step 3.6

Rewrite $- 3$ as $- 1 (3)$ .

$\frac{- 1 (64 y + 9)}{- (14 y) - 1 (3)}$

Step 3.7

Factor $- 1$ out of $- (14 y) - 1 (3)$ .

$\frac{- 1 (64 y + 9)}{- (14 y + 3)}$

Step 3.8

Rewrite $- (14 y + 3)$ as $- 1 (14 y + 3)$ .

$\frac{- 1 (64 y + 9)}{- 1 (14 y + 3)}$

Step 3.9

Cancel the common factor.

$\frac{- 1 (64 y + 9)}{- 1 (14 y + 3)}$

Step 3.10

Rewrite the expression.

$\frac{64 y + 9}{14 y + 3}$