Basic Math Examples

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $b$ .

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Step 2.1

Factor $b$ out of $a b$ .

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

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

Step 3

Multiply $\frac{a - b}{a}$ by $\frac{1}{a b}$ .

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

Step 4

Raise $a$ to the power of $1$ .

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

Step 5

Raise $a$ to the power of $1$ .

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

Step 6

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 7

Add $1$ and $1$ .

$\frac{a - b}{a^{2} b}$