Precalculus Examples

$\frac{120}{1 - \frac{1}{3}}$

Step 1

Simplify the denominator.

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Step 1.1

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

$\frac{120}{\frac{3}{3} - \frac{1}{3}}$

Step 1.2

Combine the numerators over the common denominator.

$\frac{120}{\frac{3 - 1}{3}}$

Step 1.3

Subtract $1$ from $3$ .

$\frac{120}{\frac{2}{3}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$120 (\frac{3}{2})$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $120$ .

$2 (60) \frac{3}{2}$

Step 3.2

Cancel the common factor.

$2 \cdot 60 \frac{3}{2}$

Step 3.3

Rewrite the expression.

$60 \cdot 3$

Step 4

Multiply $60$ by $3$ .

$180$