Precalculus Examples

$s = \frac{15}{1 - \frac{1}{700}}$

Step 1

Simplify the denominator.

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Step 1.1

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

$s = \frac{15}{\frac{700}{700} - \frac{1}{700}}$

Step 1.2

Combine the numerators over the common denominator.

$s = \frac{15}{\frac{700 - 1}{700}}$

Step 1.3

Subtract $1$ from $700$ .

$s = \frac{15}{\frac{699}{700}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$s = 15 (\frac{700}{699})$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $15$ .

$s = 3 (5) \frac{700}{699}$

Step 3.2

Factor $3$ out of $699$ .

$s = 3 \cdot 5 \frac{700}{3 \cdot 233}$

Step 3.3

Cancel the common factor.

$s = 3 \cdot 5 \frac{700}{3 \cdot 233}$

Step 3.4

Rewrite the expression.

$s = 5 (\frac{700}{233})$

Step 4

Combine $5$ and $\frac{700}{233}$ .

$s = \frac{5 \cdot 700}{233}$

Step 5

Multiply $5$ by $700$ .

$s = \frac{3500}{233}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$s = \frac{3500}{233}$

Decimal Form:

$s = 15.02145922 \dots$

Mixed Number Form:

$s = 15 \frac{5}{233}$