Basic Math Examples

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

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 $2$ .

$17$