Finite Math Examples

$\frac{1}{2 - \frac{5}{3}}$

Step 1

Simplify the denominator.

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Step 1.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{1}{2 \cdot \frac{3}{3} - \frac{5}{3}}$

Step 1.2

Combine $2$ and $\frac{3}{3}$ .

$\frac{1}{\frac{2 \cdot 3}{3} - \frac{5}{3}}$

Step 1.3

Combine the numerators over the common denominator.

$\frac{1}{\frac{2 \cdot 3 - 5}{3}}$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Multiply $2$ by $3$ .

$\frac{1}{\frac{6 - 5}{3}}$

Step 1.4.2

Subtract $5$ from $6$ .

$\frac{1}{\frac{1}{3}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$1 \cdot 3$

Step 3

Multiply $3$ by $1$ .

$3$