Precalculus Examples

$\frac{125}{1 - \frac{1}{5}}$

Step 1

Simplify the denominator.

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Step 1.1

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

$\frac{125}{\frac{5}{5} - \frac{1}{5}}$

Step 1.2

Combine the numerators over the common denominator.

$\frac{125}{\frac{5 - 1}{5}}$

Step 1.3

Subtract $1$ from $5$ .

$\frac{125}{\frac{4}{5}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$125 (\frac{5}{4})$

Step 3

Multiply $125 (\frac{5}{4})$ .

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Step 3.1

Combine $125$ and $\frac{5}{4}$ .

$\frac{125 \cdot 5}{4}$

Step 3.2

Multiply $125$ by $5$ .

$\frac{625}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{625}{4}$

Decimal Form:

$156.25$

Mixed Number Form:

$156 \frac{1}{4}$