Basic Math Examples

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

Step 1

Simplify the numerator.

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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.

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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:

$5 \frac{8}{9}$