Pre-Algebra Examples

$\frac{{(t - 3)}^{2}}{t + 3} \div \frac{{(t - 3)}^{2}}{t - 2}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{{(t - 3)}^{2}}{t + 3} \cdot \frac{t - 2}{{(t - 3)}^{2}}$

Step 2

Cancel the common factor of ${(t - 3)}^{2}$ .

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Step 2.1

Cancel the common factor.

$\frac{{(t - 3)}^{2}}{t + 3} \cdot \frac{t - 2}{{(t - 3)}^{2}}$

Step 2.2

Rewrite the expression.

$\frac{1}{t + 3} (t - 2)$

Step 3

Multiply $\frac{1}{t + 3}$ by $t - 2$ .

$\frac{t - 2}{t + 3}$