Calculus Examples

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

Step 1

Simplify the denominator.

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Step 1.1

Write $1$ as a fraction with a common denominator.

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

Step 1.2

Combine the numerators over the common denominator.

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

Step 1.3

Subtract $2$ from $5$ .

$\frac{4}{\frac{3}{5}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$4 (\frac{5}{3})$

Step 3

Multiply $4 (\frac{5}{3})$ .

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Step 3.1

Combine $4$ and $\frac{5}{3}$ .

$\frac{4 \cdot 5}{3}$

Step 3.2

Multiply $4$ by $5$ .

$\frac{20}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{20}{3}$

Decimal Form:

$6.\overline{6}$

Mixed Number Form:

$6 \frac{2}{3}$