Basic Math Examples

$(18 - 2 \cdot 6) - (40 \div (17 - 9)) + 48 - 13 \cdot 3 + ((50 - (5)) + 2)$

Step 1

Remove parentheses.

$(18 - 2 \cdot 6) - (40 \div (17 - 9)) + 48 - 13 \cdot 3 + (50 - (5)) + 2$

Step 2

Find the common denominator.

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Step 2.1

Write $18$ as a fraction with denominator $1$ .

$\frac{18}{1} - 2 \cdot 6 - (40 \div (17 - 9)) + 48 - 13 \cdot 3 + 50 - (5) + 2$

Step 2.2

Multiply $\frac{18}{1}$ by $\frac{17 - 9}{17 - 9}$ .

$\frac{18}{1} \cdot \frac{17 - 9}{17 - 9} - 2 \cdot 6 - (40 \div (17 - 9)) + 48 - 13 \cdot 3 + 50 - (5) + 2$

Step 2.3

Multiply $\frac{18}{1}$ by $\frac{17 - 9}{17 - 9}$ .

$\frac{18 (17 - 9)}{17 - 9} - 2 \cdot 6 - (40 \div (17 - 9)) + 48 - 13 \cdot 3 + 50 - (5) + 2$

Step 2.4

Write $- 2 \cdot 6$ as a fraction with denominator $1$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6}{1} - (40 \div (17 - 9)) + 48 - 13 \cdot 3 + 50 - (5) + 2$

Step 2.5

Multiply $\frac{- 2 \cdot 6}{1}$ by $\frac{17 - 9}{17 - 9}$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6}{1} \cdot \frac{17 - 9}{17 - 9} - (40 \div (17 - 9)) + 48 - 13 \cdot 3 + 50 - (5) + 2$

Step 2.6

Multiply $\frac{- 2 \cdot 6}{1}$ by $\frac{17 - 9}{17 - 9}$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6 (17 - 9)}{17 - 9} - (40 \div (17 - 9)) + 48 - 13 \cdot 3 + 50 - (5) + 2$

Step 2.7

Write $48$ as a fraction with denominator $1$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6 (17 - 9)}{17 - 9} - (40 \div (17 - 9)) + \frac{48}{1} - 13 \cdot 3 + 50 - (5) + 2$

Step 2.8

Multiply $\frac{48}{1}$ by $\frac{17 - 9}{17 - 9}$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6 (17 - 9)}{17 - 9} - (40 \div (17 - 9)) + \frac{48}{1} \cdot \frac{17 - 9}{17 - 9} - 13 \cdot 3 + 50 - (5) + 2$

Step 2.9

Multiply $\frac{48}{1}$ by $\frac{17 - 9}{17 - 9}$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6 (17 - 9)}{17 - 9} - (40 \div (17 - 9)) + \frac{48 (17 - 9)}{17 - 9} - 13 \cdot 3 + 50 - (5) + 2$

Step 2.10

Write $- 13 \cdot 3$ as a fraction with denominator $1$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6 (17 - 9)}{17 - 9} - (40 \div (17 - 9)) + \frac{48 (17 - 9)}{17 - 9} + \frac{- 13 \cdot 3}{1} + 50 - (5) + 2$

Step 2.11

Multiply $\frac{- 13 \cdot 3}{1}$ by $\frac{17 - 9}{17 - 9}$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6 (17 - 9)}{17 - 9} - (40 \div (17 - 9)) + \frac{48 (17 - 9)}{17 - 9} + \frac{- 13 \cdot 3}{1} \cdot \frac{17 - 9}{17 - 9} + 50 - (5) + 2$

Step 2.12

Multiply $\frac{- 13 \cdot 3}{1}$ by $\frac{17 - 9}{17 - 9}$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6 (17 - 9)}{17 - 9} - (40 \div (17 - 9)) + \frac{48 (17 - 9)}{17 - 9} + \frac{- 13 \cdot 3 (17 - 9)}{17 - 9} + 50 - (5) + 2$

Step 2.13

Write $50$ as a fraction with denominator $1$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6 (17 - 9)}{17 - 9} - (40 \div (17 - 9)) + \frac{48 (17 - 9)}{17 - 9} + \frac{- 13 \cdot 3 (17 - 9)}{17 - 9} + \frac{50}{1} - (5) + 2$

Step 2.14

Multiply $\frac{50}{1}$ by $\frac{17 - 9}{17 - 9}$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6 (17 - 9)}{17 - 9} - (40 \div (17 - 9)) + \frac{48 (17 - 9)}{17 - 9} + \frac{- 13 \cdot 3 (17 - 9)}{17 - 9} + \frac{50}{1} \cdot \frac{17 - 9}{17 - 9} - (5) + 2$

Step 2.15

Multiply $\frac{50}{1}$ by $\frac{17 - 9}{17 - 9}$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6 (17 - 9)}{17 - 9} - (40 \div (17 - 9)) + \frac{48 (17 - 9)}{17 - 9} + \frac{- 13 \cdot 3 (17 - 9)}{17 - 9} + \frac{50 (17 - 9)}{17 - 9} - (5) + 2$

Step 2.16

Write $- (5)$ as a fraction with denominator $1$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6 (17 - 9)}{17 - 9} - (40 \div (17 - 9)) + \frac{48 (17 - 9)}{17 - 9} + \frac{- 13 \cdot 3 (17 - 9)}{17 - 9} + \frac{50 (17 - 9)}{17 - 9} + \frac{- (5)}{1} + 2$

Step 2.17

Multiply $\frac{- (5)}{1}$ by $\frac{17 - 9}{17 - 9}$ .

Step 2.18

Multiply $\frac{- (5)}{1}$ by $\frac{17 - 9}{17 - 9}$ .

$\frac{18 (17 - 9)}{17 - 9} + \frac{- 2 \cdot 6 (17 - 9)}{17 - 9} - (40 \div (17 - 9)) + \frac{48 (17 - 9)}{17 - 9} + \frac{- 13 \cdot 3 (17 - 9)}{17 - 9} + \frac{50 (17 - 9)}{17 - 9} + \frac{- (5) (17 - 9)}{17 - 9} + 2$

Step 2.19

Write $2$ as a fraction with denominator $1$ .

Step 2.20

Multiply $\frac{2}{1}$ by $\frac{17 - 9}{17 - 9}$ .

Step 2.21

Multiply $\frac{2}{1}$ by $\frac{17 - 9}{17 - 9}$ .

Step 3

Combine the numerators over the common denominator.

$\frac{18 (17 - 9) - 2 \cdot 6 (17 - 9) - 40 + 48 (17 - 9) - 13 \cdot 3 (17 - 9) + 50 (17 - 9) - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4

Simplify each term.

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Step 4.1

Subtract $9$ from $17$ .

$\frac{18 \cdot 8 - 2 \cdot 6 (17 - 9) - 40 + 48 (17 - 9) - 13 \cdot 3 (17 - 9) + 50 (17 - 9) - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.2

Multiply $18$ by $8$ .

$\frac{144 - 2 \cdot 6 (17 - 9) - 40 + 48 (17 - 9) - 13 \cdot 3 (17 - 9) + 50 (17 - 9) - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.3

Multiply $- 2$ by $6$ .

$\frac{144 - 12 (17 - 9) - 40 + 48 (17 - 9) - 13 \cdot 3 (17 - 9) + 50 (17 - 9) - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.4

Subtract $9$ from $17$ .

$\frac{144 - 12 \cdot 8 - 40 + 48 (17 - 9) - 13 \cdot 3 (17 - 9) + 50 (17 - 9) - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.5

Multiply $- 12$ by $8$ .

$\frac{144 - 96 - 40 + 48 (17 - 9) - 13 \cdot 3 (17 - 9) + 50 (17 - 9) - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.6

Subtract $9$ from $17$ .

$\frac{144 - 96 - 40 + 48 \cdot 8 - 13 \cdot 3 (17 - 9) + 50 (17 - 9) - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.7

Multiply $48$ by $8$ .

$\frac{144 - 96 - 40 + 384 - 13 \cdot 3 (17 - 9) + 50 (17 - 9) - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.8

Multiply $- 13$ by $3$ .

$\frac{144 - 96 - 40 + 384 - 39 (17 - 9) + 50 (17 - 9) - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.9

Subtract $9$ from $17$ .

$\frac{144 - 96 - 40 + 384 - 39 \cdot 8 + 50 (17 - 9) - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.10

Multiply $- 39$ by $8$ .

$\frac{144 - 96 - 40 + 384 - 312 + 50 (17 - 9) - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.11

Subtract $9$ from $17$ .

$\frac{144 - 96 - 40 + 384 - 312 + 50 \cdot 8 - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.12

Multiply $50$ by $8$ .

$\frac{144 - 96 - 40 + 384 - 312 + 400 - (5) (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.13

Multiply $- 1$ by $5$ .

$\frac{144 - 96 - 40 + 384 - 312 + 400 - 5 (17 - 9) + 2 (17 - 9)}{17 - 9}$

Step 4.14

Subtract $9$ from $17$ .

$\frac{144 - 96 - 40 + 384 - 312 + 400 - 5 \cdot 8 + 2 (17 - 9)}{17 - 9}$

Step 4.15

Multiply $- 5$ by $8$ .

$\frac{144 - 96 - 40 + 384 - 312 + 400 - 40 + 2 (17 - 9)}{17 - 9}$

Step 4.16

Subtract $9$ from $17$ .

$\frac{144 - 96 - 40 + 384 - 312 + 400 - 40 + 2 \cdot 8}{17 - 9}$

Step 4.17

Multiply $2$ by $8$ .

$\frac{144 - 96 - 40 + 384 - 312 + 400 - 40 + 16}{17 - 9}$

Step 5

Simplify the expression.

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Step 5.1

Subtract $96$ from $144$ .

$\frac{48 - 40 + 384 - 312 + 400 - 40 + 16}{17 - 9}$

Step 5.2

Subtract $40$ from $48$ .

$\frac{8 + 384 - 312 + 400 - 40 + 16}{17 - 9}$

Step 5.3

Add $8$ and $384$ .

$\frac{392 - 312 + 400 - 40 + 16}{17 - 9}$

Step 5.4

Subtract $312$ from $392$ .

$\frac{80 + 400 - 40 + 16}{17 - 9}$

Step 5.5

Add $80$ and $400$ .

$\frac{480 - 40 + 16}{17 - 9}$

Step 5.6

Subtract $40$ from $480$ .

$\frac{440 + 16}{17 - 9}$

Step 5.7

Add $440$ and $16$ .

$\frac{456}{17 - 9}$

Step 5.8

Subtract $9$ from $17$ .

$\frac{456}{8}$

Step 5.9

Divide $456$ by $8$ .

$57$