Basic Math Examples

$(41 - (6 + 9) \div 5) - (48 \div (20 - 8))$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$41 - \frac{6 + 9}{5} - (48 \div (20 - 8))$

Step 1.2

Add $6$ and $9$ .

$41 - \frac{15}{5} - (48 \div (20 - 8))$

Step 1.3

Divide $15$ by $5$ .

$41 - 1 \cdot 3 - (48 \div (20 - 8))$

Step 1.4

Multiply $- 1$ by $3$ .

$41 - 3 - (48 \div (20 - 8))$

Step 1.5

Rewrite the division as a fraction.

$41 - 3 - \frac{48}{20 - 8}$

Step 1.6

Cancel the common factor of $48$ and $20 - 8$ .

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Step 1.6.1

Factor $4$ out of $48$ .

$41 - 3 - \frac{4 (12)}{20 - 8}$

Step 1.6.2

Cancel the common factors.

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Step 1.6.2.1

Factor $4$ out of $20$ .

$41 - 3 - \frac{4 \cdot 12}{4 \cdot 5 - 8}$

Step 1.6.2.2

Factor $4$ out of $- 8$ .

$41 - 3 - \frac{4 (12)}{4 \cdot 5 + 4 \cdot - 2}$

Step 1.6.2.3

Factor $4$ out of $4 \cdot 5 + 4 \cdot - 2$ .

$41 - 3 - \frac{4 (12)}{4 \cdot (5 - 2)}$

Step 1.6.2.4

Cancel the common factor.

$41 - 3 - \frac{4 \cdot 12}{4 \cdot (5 - 2)}$

Step 1.6.2.5

Rewrite the expression.

$41 - 3 - \frac{12}{5 - 2}$

$41 - 3 - \frac{12}{5 - 2}$

$41 - 3 - \frac{12}{5 - 2}$

Step 1.7

Subtract $2$ from $5$ .

$41 - 3 - \frac{12}{3}$

Step 1.8

Divide $12$ by $3$ .

$41 - 3 - 1 \cdot 4$

Step 1.9

Multiply $- 1$ by $4$ .

$41 - 3 - 4$

$41 - 3 - 4$

Step 2

Simplify by subtracting numbers.

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Step 2.1

Subtract $3$ from $41$ .

$38 - 4$

Step 2.2

Subtract $4$ from $38$ .

$34$

$34$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$