Basic Math Examples

$2 a - \frac{4}{10} \div 4 \div 2$

Step 1

Rewrite the division as a fraction.

$2 a - \frac{\frac{4}{10} \div 4}{2}$

Step 2

Cancel the common factor of $4$ and $10$ .

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Step 2.1

Factor $2$ out of $4$ .

$2 a - \frac{\frac{2 (2)}{10} \div 4}{2}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $10$ .

$2 a - \frac{\frac{2 \cdot 2}{2 \cdot 5} \div 4}{2}$

Step 2.2.2

Cancel the common factor.

$2 a - \frac{\frac{2 \cdot 2}{2 \cdot 5} \div 4}{2}$

Step 2.2.3

Rewrite the expression.

$2 a - \frac{\frac{2}{5} \div 4}{2}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

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

Step 4

Rewrite the division as a fraction.

$2 a - (\frac{\frac{2}{5}}{4} \cdot \frac{1}{2})$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$2 a - (\frac{2}{5} \cdot \frac{1}{4} \frac{1}{2})$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $4$ .

$2 a - (\frac{2}{5} \cdot \frac{1}{2 (2)} \frac{1}{2})$

Step 6.2

Cancel the common factor.

$2 a - (\frac{2}{5} \cdot \frac{1}{2 \cdot 2} \frac{1}{2})$

Step 6.3

Rewrite the expression.

$2 a - (\frac{1}{5} \cdot \frac{1}{2} \frac{1}{2})$

Step 7

Multiply $\frac{1}{5}$ by $\frac{1}{2}$ .

$2 a - (\frac{1}{5 \cdot 2} \cdot \frac{1}{2})$

Step 8

Multiply $5$ by $2$ .

$2 a - (\frac{1}{10} \cdot \frac{1}{2})$

Step 9

Multiply $\frac{1}{10} \cdot \frac{1}{2}$ .

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Step 9.1

Multiply $\frac{1}{10}$ by $\frac{1}{2}$ .

$2 a - \frac{1}{10 \cdot 2}$

Step 9.2

Multiply $10$ by $2$ .

$2 a - \frac{1}{20}$