Basic Math Examples

$\frac{a + 8}{a^{2}} \div \frac{2 a + 16}{2 a^{2}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{a + 8}{a^{2}} \cdot \frac{2 a^{2}}{2 a + 16}$

Step 2

Cancel the common factor of $a^{2}$ .

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Step 2.1

Factor $a^{2}$ out of $2 a^{2}$ .

$\frac{a + 8}{a^{2}} \cdot \frac{a^{2} \cdot 2}{2 a + 16}$

Step 2.2

Cancel the common factor.

$\frac{a + 8}{a^{2}} \cdot \frac{a^{2} \cdot 2}{2 a + 16}$

Step 2.3

Rewrite the expression.

$(a + 8) \frac{2}{2 a + 16}$

Step 3

Factor $2$ out of $2 a + 16$ .

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Step 3.1

Factor $2$ out of $2 a$ .

$(a + 8) \frac{2}{2 (a) + 16}$

Step 3.2

Factor $2$ out of $16$ .

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

Step 3.3

Factor $2$ out of $2 a + 2 \cdot 8$ .

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

Step 4

Cancel the common factor of $a + 8$ .

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Step 4.1

Factor $a + 8$ out of $2 (a + 8)$ .

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

Step 4.2

Cancel the common factor.

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

Step 4.3

Rewrite the expression.

$\frac{2}{2}$

Step 5

Divide $2$ by $2$ .

$1$