Basic Math Examples

$\frac{\frac{1}{2} - \frac{1}{4}}{6}$

Step 1

Simplify the numerator.

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Step 1.1

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{\frac{1}{2} \cdot \frac{2}{2} - \frac{1}{4}}{6}$

Step 1.2

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

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Step 1.2.1

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

$\frac{\frac{2}{2 \cdot 2} - \frac{1}{4}}{6}$

Step 1.2.2

Multiply $2$ by $2$ .

$\frac{\frac{2}{4} - \frac{1}{4}}{6}$

Step 1.3

Combine the numerators over the common denominator.

$\frac{\frac{2 - 1}{4}}{6}$

Step 1.4

Subtract $1$ from $2$ .

$\frac{\frac{1}{4}}{6}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{4} \cdot \frac{1}{6}$

Step 3

Multiply $\frac{1}{4} \cdot \frac{1}{6}$ .

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Step 3.1

Multiply $\frac{1}{4}$ by $\frac{1}{6}$ .

$\frac{1}{4 \cdot 6}$

Step 3.2

Multiply $4$ by $6$ .

$\frac{1}{24}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{24}$

Decimal Form:

$0.041\overline{6}$