Basic Math Examples

$(8 - 2) \div 6 \cdot (9 - 4) \div 5$

Step 1

Rewrite the division as a fraction.

$\frac{(8 - 2) \div 6 \cdot (9 - 4)}{5}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $8 - 2$ and $6$ .

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Step 2.1.1

Factor $2$ out of $8$ .

$\frac{(2 (4) - 2) \div 6 \cdot (9 - 4)}{5}$

Step 2.1.2

Factor $2$ out of $- 2$ .

$\frac{(2 \cdot 4 + 2 \cdot - 1) \div 6 \cdot (9 - 4)}{5}$

Step 2.1.3

Factor $2$ out of $2 \cdot 4 + 2 \cdot - 1$ .

$\frac{2 \cdot (4 - 1) \div 6 \cdot (9 - 4)}{5}$

Step 2.1.4

Cancel the common factors.

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Step 2.1.4.1

Factor $2$ out of $6$ .

$\frac{2 \cdot (4 - 1) \div 2 (3) \cdot (9 - 4)}{5}$

Step 2.1.4.2

Cancel the common factor.

$\frac{2 \cdot (4 - 1) \div 2 \cdot 3 \cdot (9 - 4)}{5}$

Step 2.1.4.3

Rewrite the expression.

$\frac{\frac{4 - 1}{3} \cdot (9 - 4)}{5}$

Step 2.2

Subtract $1$ from $4$ .

$\frac{\frac{3}{3} \cdot (9 - 4)}{5}$

Step 3

Simplify the numerator.

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Step 3.1

Divide $3$ by $3$ .

$\frac{1 (9 - 4)}{5}$

Step 3.2

Multiply $9 - 4$ by $1$ .

$\frac{9 - 4}{5}$

Step 3.3

Subtract $4$ from $9$ .

$\frac{5}{5}$

Step 4

Divide $5$ by $5$ .

$1$