Basic Math Examples

(2 \cdot 3 - (2 \cdot 5 - 4)) + \frac{(\frac{18}{3} + 1) (5 \cdot 4 - 7 \cdot 2) - (3 \cdot 5 - 7)}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}

$(2 \cdot 3 - (2 \cdot 5 - 4)) + \frac{(\frac{18}{3} + 1) (5 \cdot 4 - 7 \cdot 2) - (3 \cdot 5 - 7)}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 1

Multiply

$5$ by

$4$ .

$2 \cdot 3 - (2 \cdot 5 - 4) + \frac{(\frac{18}{3} + 1) (20 - 7 \cdot 2) - (3 \cdot 5 - 7)}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 2

Multiply

$- 7$ by

$2$ .

$2 \cdot 3 - (2 \cdot 5 - 4) + \frac{(\frac{18}{3} + 1) (20 - 14) - (3 \cdot 5 - 7)}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 3

Multiply

$3$ by

$5$ .

$2 \cdot 3 - (2 \cdot 5 - 4) + \frac{(\frac{18}{3} + 1) (20 - 14) - (15 - 7)}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 4

Write

$1$ as a fraction with a common denominator.

$2 \cdot 3 - (2 \cdot 5 - 4) + \frac{(\frac{18}{3} + \frac{3}{3}) (20 - 14) - (15 - 7)}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 5

Combine the numerators over the common denominator.

$2 \cdot 3 - (2 \cdot 5 - 4) + \frac{\frac{18 + 3}{3} (20 - 14) - (15 - 7)}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 6

Add

$18$ and

$3$ .

$2 \cdot 3 - (2 \cdot 5 - 4) + \frac{\frac{21}{3} (20 - 14) - (15 - 7)}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 7

Subtract

$14$ from

$20$ .

$2 \cdot 3 - (2 \cdot 5 - 4) + \frac{\frac{21}{3} \cdot 6 - (15 - 7)}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 8

Subtract

$7$ from

$15$ .

$2 \cdot 3 - (2 \cdot 5 - 4) + \frac{\frac{21}{3} \cdot 6 - 1 \cdot 8}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 9

Multiply

$- 1$ by

$8$ .

$2 \cdot 3 - (2 \cdot 5 - 4) + \frac{\frac{21}{3} \cdot 6 - 8}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 10

Find the common denominator.

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Step 10.1

Write

$2 \cdot 3$ as a fraction with denominator

$1$ .

$\frac{2 \cdot 3}{1} - (2 \cdot 5 - 4) + \frac{\frac{21}{3} \cdot 6 - 8}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 10.2

Multiply

$\frac{2 \cdot 3}{1}$ by

$\frac{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$ .

$\frac{2 \cdot 3}{1} \cdot \frac{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))} - (2 \cdot 5 - 4) + \frac{\frac{21}{3} \cdot 6 - 8}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 10.3

Multiply

$\frac{2 \cdot 3}{1}$ by

$\frac{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$ .

$\frac{2 \cdot 3 ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2)))}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))} - (2 \cdot 5 - 4) + \frac{\frac{21}{3} \cdot 6 - 8}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 10.4

Write

$- (2 \cdot 5 - 4)$ as a fraction with denominator

$1$ .

$\frac{2 \cdot 3 ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2)))}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))} + \frac{- (2 \cdot 5 - 4)}{1} + \frac{\frac{21}{3} \cdot 6 - 8}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 10.5

Multiply

$\frac{- (2 \cdot 5 - 4)}{1}$ by

$\frac{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$ .

$\frac{2 \cdot 3 ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2)))}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))} + \frac{- (2 \cdot 5 - 4)}{1} \cdot \frac{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))} + \frac{\frac{21}{3} \cdot 6 - 8}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 10.6

Multiply

$\frac{- (2 \cdot 5 - 4)}{1}$ by

$\frac{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$ .

$\frac{2 \cdot 3 ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2)))}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))} + \frac{- (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2)))}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))} + \frac{\frac{21}{3} \cdot 6 - 8}{(5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11

Simplify terms.

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Step 11.1

Combine the numerators over the common denominator.

$\frac{2 \cdot 3 ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2

Simplify each term.

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Step 11.2.1

Multiply

$2$ by

$3$ .

$\frac{6 ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.2

Simplify each term.

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Step 11.2.2.1

Multiply

$5$ by

$2$ .

$\frac{6 ((10 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.2.2

Subtract

$4$ from

$10$ .

$\frac{6 (6 (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.2.3

Multiply

$- 3$ by

$4$ .

$\frac{6 (6 (15 - 12) - ((5 + 2) \cdot 3 - (3 + 2))) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.2.4

Subtract

$12$ from

$15$ .

$\frac{6 (6 \cdot 3 - ((5 + 2) \cdot 3 - (3 + 2))) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.2.5

Multiply

$6$ by

$3$ .

$\frac{6 (18 - ((5 + 2) \cdot 3 - (3 + 2))) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.2.6

Simplify each term.

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Step 11.2.2.6.1

Add

$5$ and

$2$ .

$\frac{6 (18 - (7 \cdot 3 - (3 + 2))) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.2.6.2

Multiply

$7$ by

$3$ .

$\frac{6 (18 - (21 - (3 + 2))) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.2.6.3

Add

$3$ and

$2$ .

$\frac{6 (18 - (21 - 1 \cdot 5)) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.2.6.4

Multiply

$- 1$ by

$5$ .

$\frac{6 (18 - (21 - 5)) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.2.7

Subtract

$5$ from

$21$ .

$\frac{6 (18 - 1 \cdot 16) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.2.8

Multiply

$- 1$ by

$16$ .

$\frac{6 (18 - 16) - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.3

Subtract

$16$ from

$18$ .

$\frac{6 \cdot 2 - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.4

Multiply

$6$ by

$2$ .

$\frac{12 - (2 \cdot 5 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.5

Multiply

$2$ by

$5$ .

$\frac{12 - (10 - 4) ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.6

Subtract

$4$ from

$10$ .

$\frac{12 - 1 \cdot 6 ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.7

Multiply

$- 1$ by

$6$ .

$\frac{12 - 6 ((5 \cdot 2 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.8

Simplify each term.

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Step 11.2.8.1

Multiply

$5$ by

$2$ .

$\frac{12 - 6 ((10 - 4) (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.8.2

Subtract

$4$ from

$10$ .

$\frac{12 - 6 (6 (15 - 3 \cdot 4) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.8.3

Multiply

$- 3$ by

$4$ .

$\frac{12 - 6 (6 (15 - 12) - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.8.4

Subtract

$12$ from

$15$ .

$\frac{12 - 6 (6 \cdot 3 - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.8.5

Multiply

$6$ by

$3$ .

$\frac{12 - 6 (18 - ((5 + 2) \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.8.6

Simplify each term.

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Step 11.2.8.6.1

Add

$5$ and

$2$ .

$\frac{12 - 6 (18 - (7 \cdot 3 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.8.6.2

Multiply

$7$ by

$3$ .

$\frac{12 - 6 (18 - (21 - (3 + 2))) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.8.6.3

Add

$3$ and

$2$ .

$\frac{12 - 6 (18 - (21 - 1 \cdot 5)) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.8.6.4

Multiply

$- 1$ by

$5$ .

$\frac{12 - 6 (18 - (21 - 5)) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.8.7

Subtract

$5$ from

$21$ .

$\frac{12 - 6 (18 - 1 \cdot 16) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.8.8

Multiply

$- 1$ by

$16$ .

$\frac{12 - 6 (18 - 16) + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.9

Subtract

$16$ from

$18$ .

$\frac{12 - 6 \cdot 2 + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.10

Multiply

$- 6$ by

$2$ .

$\frac{12 - 12 + \frac{21}{3} \cdot 6 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.11

Cancel the common factor of

$3$ .

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Step 11.2.11.1

Factor

$3$ out of

$6$ .

$\frac{12 - 12 + \frac{21}{3} \cdot (3 (2)) - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.11.2

Cancel the common factor.

$\frac{12 - 12 + \frac{21}{3} \cdot (3 \cdot 2) - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.11.3

Rewrite the expression.

$\frac{12 - 12 + 21 \cdot 2 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.2.12

Multiply

$21$ by

$2$ .

$\frac{12 - 12 + 42 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.3

Simplify by adding and subtracting.

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Step 11.3.1

Subtract

$12$ from

$12$ .

$\frac{0 + 42 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.3.2

Add

$0$ and

$42$ .

$\frac{42 - 8}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 11.3.3

Subtract

$8$ from

$42$ .

$\frac{34}{(15 - 3 \cdot 4) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 12

Simplify the denominator.

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Step 12.1

Multiply

$- 3$ by

$4$ .

$\frac{34}{(15 - 12) (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 12.2

Subtract

$12$ from

$15$ .

$\frac{34}{3 (5 \cdot 2 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 12.3

Multiply

$5$ by

$2$ .

$\frac{34}{3 (10 - 4) - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 12.4

Subtract

$4$ from

$10$ .

$\frac{34}{3 \cdot 6 - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 12.5

Multiply

$3$ by

$6$ .

$\frac{34}{18 - ((5 + 2) \cdot 3 - (3 + 2))}$

Step 12.6

Simplify each term.

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Step 12.6.1

Add

$5$ and

$2$ .

$\frac{34}{18 - (7 \cdot 3 - (3 + 2))}$

Step 12.6.2

Multiply

$7$ by

$3$ .

$\frac{34}{18 - (21 - (3 + 2))}$

Step 12.6.3

Add

$3$ and

$2$ .

$\frac{34}{18 - (21 - 1 \cdot 5)}$

Step 12.6.4

Multiply

$- 1$ by

$5$ .

$\frac{34}{18 - (21 - 5)}$

Step 12.7

Subtract

$5$ from

$21$ .

$\frac{34}{18 - 1 \cdot 16}$

Step 12.8

Multiply

$- 1$ by

$16$ .

$\frac{34}{18 - 16}$

Step 12.9

Subtract

$16$ from

$18$ .

$\frac{34}{2}$

Step 13

Divide

$34$ by

$2$ .

$17$