Pre-Algebra Examples

$\frac{1}{a} - \frac{1}{b} \div \frac{a}{b} - \frac{b}{a}$

Step 1

Simplify each term.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{a} - (\frac{1}{b} \cdot \frac{b}{a}) - \frac{b}{a}$

Step 1.2

Cancel the common factor of $b$ .

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Step 1.2.1

Cancel the common factor.

$\frac{1}{a} - (\frac{1}{b} \cdot \frac{b}{a}) - \frac{b}{a}$

Step 1.2.2

Rewrite the expression.

$\frac{1}{a} - \frac{1}{a} - \frac{b}{a}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $\frac{1}{a}$ from $\frac{1}{a}$ .

$0 - \frac{b}{a}$

Step 2.2

Subtract $\frac{b}{a}$ from $0$ .

$- \frac{b}{a}$