Finite Math Examples

$26 - | - (13 - 4 \cdot (5 - 7 \cdot 2) \div 2) \div (1 + 5 \cdot 6) + (10 - 3 \cdot 3) | - 1$

Step 1

Remove parentheses.

$26 - | - (13 - 4 \cdot (5 - 7 \cdot 2) \div 2) \div (1 + 5 \cdot 6) + 10 - 3 \cdot 3 | - 1$

Step 2

Simplify each term.

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Step 2.1

Multiply $- 7$ by $2$ .

$26 - | - (13 - 4 \cdot (5 - 14) \div 2) \div (1 + 5 \cdot 6) + 10 - 3 \cdot 3 | - 1$

Step 2.2

Subtract $14$ from $5$ .

$26 - | - (13 - 4 \cdot - 9 \div 2) \div (1 + 5 \cdot 6) + 10 - 3 \cdot 3 | - 1$

Step 2.3

Multiply $4$ by $- 9$ .

$26 - | - (13 - - 36 \div 2) \div (1 + 5 \cdot 6) + 10 - 3 \cdot 3 | - 1$

Step 2.4

To write $13$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$26 - | - (13 \cdot \frac{2}{2} - - 36 \div 2) \div (1 + 5 \cdot 6) + 10 - 3 \cdot 3 | - 1$

Step 2.5

Combine $13$ and $\frac{2}{2}$ .

$26 - | - (\frac{13 \cdot 2}{2} - - 36 \div 2) \div (1 + 5 \cdot 6) + 10 - 3 \cdot 3 | - 1$

Step 2.6

Combine the numerators over the common denominator.

$26 - | - \frac{13 \cdot 2 + 36}{2} \div (1 + 5 \cdot 6) + 10 - 3 \cdot 3 | - 1$

Step 2.7

Simplify the numerator.

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Step 2.7.1

Multiply $13$ by $2$ .

$26 - | - \frac{26 + 36}{2} \div (1 + 5 \cdot 6) + 10 - 3 \cdot 3 | - 1$

Step 2.7.2

Add $26$ and $36$ .

$26 - | - \frac{62}{2} \div (1 + 5 \cdot 6) + 10 - 3 \cdot 3 | - 1$

Step 2.8

Simplify each term.

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Step 2.8.1

Rewrite the division as a fraction.

$26 - | \frac{- \frac{62}{2}}{1 + 5 \cdot 6} + 10 - 3 \cdot 3 | - 1$

Step 2.8.2

Cancel the common factor of $62$ and $2$ .

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Step 2.8.2.1

Factor $2$ out of $62$ .

$26 - | \frac{- \frac{2 \cdot 31}{2}}{1 + 5 \cdot 6} + 10 - 3 \cdot 3 | - 1$

Step 2.8.2.2

Cancel the common factors.

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Step 2.8.2.2.1

Factor $2$ out of $2$ .

$26 - | \frac{- \frac{2 \cdot 31}{2 (1)}}{1 + 5 \cdot 6} + 10 - 3 \cdot 3 | - 1$

Step 2.8.2.2.2

Cancel the common factor.

$26 - | \frac{- \frac{2 \cdot 31}{2 \cdot 1}}{1 + 5 \cdot 6} + 10 - 3 \cdot 3 | - 1$

Step 2.8.2.2.3

Rewrite the expression.

$26 - | \frac{- \frac{31}{1}}{1 + 5 \cdot 6} + 10 - 3 \cdot 3 | - 1$

Step 2.8.2.2.4

Divide $31$ by $1$ .

$26 - | \frac{- 1 \cdot 31}{1 + 5 \cdot 6} + 10 - 3 \cdot 3 | - 1$

Step 2.8.3

Multiply $- 1$ by $31$ .

$26 - | \frac{- 31}{1 + 5 \cdot 6} + 10 - 3 \cdot 3 | - 1$

Step 2.8.4

Simplify the denominator.

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Step 2.8.4.1

Multiply $5$ by $6$ .

$26 - | \frac{- 31}{1 + 30} + 10 - 3 \cdot 3 | - 1$

Step 2.8.4.2

Add $1$ and $30$ .

$26 - | \frac{- 31}{31} + 10 - 3 \cdot 3 | - 1$

Step 2.8.5

Divide $- 31$ by $31$ .

$26 - | - 1 + 10 - 3 \cdot 3 | - 1$

Step 2.8.6

Multiply $- 3$ by $3$ .

$26 - | - 1 + 10 - 9 | - 1$

Step 2.9

Add $- 1$ and $10$ .

$26 - | 9 - 9 | - 1$

Step 2.10

Subtract $9$ from $9$ .

$26 - | 0 | - 1$

Step 2.11

The absolute value is the distance between a number and zero. The distance between $0$ and $0$ is $0$ .

$26 - 0 - 1$

Step 2.12

Multiply $- 1$ by $0$ .

$26 + 0 - 1$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $26$ and $0$ .

$26 - 1$

Step 3.2

Subtract $1$ from $26$ .

$25$