Basic Math Examples

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

Step 1

Rewrite the division as a fraction.

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

Step 2

Multiply.

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Step 2.1

Divide $4$ by $1$ .

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

Step 2.2

Divide $4$ by $1$ .

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

Step 2.3

Multiply $4$ by $2$ .

$\frac{8}{4 - \frac{1}{3}}$

Step 3

Simplify the denominator.

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Step 3.1

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

$\frac{8}{4 \cdot \frac{3}{3} - \frac{1}{3}}$

Step 3.2

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

$\frac{8}{\frac{4 \cdot 3}{3} - \frac{1}{3}}$

Step 3.3

Combine the numerators over the common denominator.

$\frac{8}{\frac{4 \cdot 3 - 1}{3}}$

Step 3.4

Simplify the numerator.

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Step 3.4.1

Multiply $4$ by $3$ .

$\frac{8}{\frac{12 - 1}{3}}$

Step 3.4.2

Subtract $1$ from $12$ .

$\frac{8}{\frac{11}{3}}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$8 (\frac{3}{11})$

Step 5

Multiply $8 (\frac{3}{11})$ .

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Step 5.1

Combine $8$ and $\frac{3}{11}$ .

$\frac{8 \cdot 3}{11}$

Step 5.2

Multiply $8$ by $3$ .

$\frac{24}{11}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{24}{11}$

Decimal Form:

$2.\overline{18}$

Mixed Number Form:

$2 \frac{2}{11}$