Basic Math Examples

\frac{2 (3 - 9 + 8) - 3 (5 + 2 - 7) - 3 (2 + 8 + 9)}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}

$\frac{2 (3 - 9 + 8) - 3 (5 + 2 - 7) - 3 (2 + 8 + 9)}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Subtract

$9$ from

$3$ .

$\frac{2 (- 6 + 8) - 3 (5 + 2 - 7) - 3 (2 + 8 + 9)}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 1.2

Add

$- 6$ and

$8$ .

$\frac{2 \cdot 2 - 3 (5 + 2 - 7) - 3 (2 + 8 + 9)}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 1.3

Multiply

$2$ by

$2$ .

$\frac{4 - 3 (5 + 2 - 7) - 3 (2 + 8 + 9)}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 1.4

Add

$5$ and

$2$ .

$\frac{4 - 3 (7 - 7) - 3 (2 + 8 + 9)}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 1.5

Subtract

$7$ from

$7$ .

$\frac{4 - 3 \cdot 0 - 3 (2 + 8 + 9)}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 1.6

Multiply

$- 3$ by

$0$ .

$\frac{4 + 0 - 3 (2 + 8 + 9)}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 1.7

Add

$2$ and

$8$ .

$\frac{4 + 0 - 3 (10 + 9)}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 1.8

Add

$10$ and

$9$ .

$\frac{4 + 0 - 3 \cdot 19}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 1.9

Multiply

$- 3$ by

$19$ .

$\frac{4 + 0 - 57}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 1.10

Add

$4$ and

$0$ .

$\frac{4 - 57}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 1.11

Subtract

$57$ from

$4$ .

$\frac{- 53}{2 (3 - 6 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Subtract

$6$ from

$3$ .

$\frac{- 53}{2 (- 3 + 7) + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 2.2

Add

$- 3$ and

$7$ .

$\frac{- 53}{2 \cdot 4 + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 2.3

Multiply

$2$ by

$4$ .

$\frac{- 53}{8 + 3 - 7 (3 + 6 - 5) - 4 (6 - 8)}$

Step 2.4

Add

$3$ and

$6$ .

$\frac{- 53}{8 + 3 - 7 (9 - 5) - 4 (6 - 8)}$

Step 2.5

Subtract

$5$ from

$9$ .

$\frac{- 53}{8 + 3 - 7 \cdot 4 - 4 (6 - 8)}$

Step 2.6

Multiply

$- 7$ by

$4$ .

$\frac{- 53}{8 + 3 - 28 - 4 (6 - 8)}$

Step 2.7

Subtract

$8$ from

$6$ .

$\frac{- 53}{8 + 3 - 28 - 4 \cdot - 2}$

Step 2.8

Multiply

$- 4$ by

$- 2$ .

$\frac{- 53}{8 + 3 - 28 + 8}$

Step 2.9

Add

$8$ and

$3$ .

$\frac{- 53}{11 - 28 + 8}$

Step 2.10

Subtract

$28$ from

$11$ .

$\frac{- 53}{- 17 + 8}$

Step 2.11

Add

$- 17$ and

$8$ .

$\frac{- 53}{- 9}$

Step 3

Dividing two negative values results in a positive value.

$\frac{53}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{53}{9}$

Decimal Form:

$5.\overline{8}$

Mixed Number Form:

$5 \frac{8}{9}$