Basic Math Examples

$\frac{12 \cdot 7 - 20 (8 \cdot 6 - 47)}{4 (3 + 2) - 3^{2} + 5}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $12$ by $7$ .

$\frac{84 - 20 (8 \cdot 6 - 47)}{4 (3 + 2) - 3^{2} + 5}$

Step 1.2

Multiply $8$ by $6$ .

$\frac{84 - 20 (48 - 47)}{4 (3 + 2) - 3^{2} + 5}$

Step 1.3

Subtract $47$ from $48$ .

$\frac{84 - 20 \cdot 1}{4 (3 + 2) - 3^{2} + 5}$

Step 1.4

Multiply $- 20$ by $1$ .

$\frac{84 - 20}{4 (3 + 2) - 3^{2} + 5}$

Step 1.5

Subtract $20$ from $84$ .

$\frac{64}{4 (3 + 2) - 3^{2} + 5}$

Step 2

Simplify the denominator.

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Step 2.1

Add $3$ and $2$ .

$\frac{64}{4 \cdot 5 - 3^{2} + 5}$

Step 2.2

Multiply $4$ by $5$ .

$\frac{64}{20 - 3^{2} + 5}$

Step 2.3

Raise $3$ to the power of $2$ .

$\frac{64}{20 - 1 \cdot 9 + 5}$

Step 2.4

Multiply $- 1$ by $9$ .

$\frac{64}{20 - 9 + 5}$

Step 2.5

Subtract $9$ from $20$ .

$\frac{64}{11 + 5}$

Step 2.6

Add $11$ and $5$ .

$\frac{64}{16}$

Step 3

Divide $64$ by $16$ .

$4$