Basic Math Examples

$\frac{4 - \frac{1}{2}}{\frac{11}{6}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(4 - \frac{1}{2}) \frac{6}{11}$

Step 2

To write $4$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$(4 \cdot \frac{2}{2} - \frac{1}{2}) \frac{6}{11}$

Step 3

Combine $4$ and $\frac{2}{2}$ .

$(\frac{4 \cdot 2}{2} - \frac{1}{2}) \frac{6}{11}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 \cdot 2 - 1}{2} \cdot \frac{6}{11}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $4$ by $2$ .

$\frac{8 - 1}{2} \cdot \frac{6}{11}$

Step 5.2

Subtract $1$ from $8$ .

$\frac{7}{2} \cdot \frac{6}{11}$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $6$ .

$\frac{7}{2} \cdot \frac{2 (3)}{11}$

Step 6.2

Cancel the common factor.

$\frac{7}{2} \cdot \frac{2 \cdot 3}{11}$

Step 6.3

Rewrite the expression.

$7 (\frac{3}{11})$

Step 7

Combine $7$ and $\frac{3}{11}$ .

$\frac{7 \cdot 3}{11}$

Step 8

Multiply $7$ by $3$ .

$\frac{21}{11}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{11}$

Decimal Form:

$1.\overline{90}$

Mixed Number Form:

$1 \frac{10}{11}$