Basic Math Examples

$\frac{{(a + 3)}^{2}}{8 a^{3} y} \div \frac{a + 2}{a y}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{{(a + 3)}^{2}}{8 a^{3} y} \cdot \frac{a y}{a + 2}$

Step 2

Cancel the common factor of $a y$ .

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Step 2.1

Factor $a y$ out of $8 a^{3} y$ .

$\frac{{(a + 3)}^{2}}{a y (8 a^{2})} \cdot \frac{a y}{a + 2}$

Step 2.2

Cancel the common factor.

$\frac{{(a + 3)}^{2}}{a y (8 a^{2})} \cdot \frac{a y}{a + 2}$

Step 2.3

Rewrite the expression.

$\frac{{(a + 3)}^{2}}{8 a^{2}} \cdot \frac{1}{a + 2}$

Step 3

Multiply $\frac{{(a + 3)}^{2}}{8 a^{2}}$ by $\frac{1}{a + 2}$ .

$\frac{{(a + 3)}^{2}}{8 a^{2} (a + 2)}$