Basic Math Examples

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

Step 1

Rewrite the division as a fraction.

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

Step 2

Multiply the numerator by the reciprocal of the denominator.

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

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $4$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

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

Step 4

To write $3$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

Step 5

Combine $3$ and $\frac{4}{4}$ .

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

Step 6

Combine the numerators over the common denominator.

$\frac{2}{9} \cdot \frac{3 \cdot 4 - 1}{4}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply $3$ by $4$ .

$\frac{2}{9} \cdot \frac{12 - 1}{4}$

Step 7.2

Subtract $1$ from $12$ .

$\frac{2}{9} \cdot \frac{11}{4}$

Step 8

Cancel the common factor of $2$ .

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Step 8.1

Factor $2$ out of $4$ .

$\frac{2}{9} \cdot \frac{11}{2 (2)}$

Step 8.2

Cancel the common factor.

$\frac{2}{9} \cdot \frac{11}{2 \cdot 2}$

Step 8.3

Rewrite the expression.

$\frac{1}{9} \cdot \frac{11}{2}$

Step 9

Multiply $\frac{1}{9}$ by $\frac{11}{2}$ .

$\frac{11}{9 \cdot 2}$

Step 10

Multiply $9$ by $2$ .

$\frac{11}{18}$

Step 11

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{18}$

Decimal Form:

$0.6\overline{1}$