Basic Math Examples

\frac{a + 5}{(a + 3) (a + 8)} \div \frac{a + 5}{(a - 7) (a + 8)}

$\frac{a + 5}{(a + 3) (a + 8)} \div \frac{a + 5}{(a - 7) (a + 8)}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{a + 5}{(a + 3) (a + 8)} \cdot \frac{(a - 7) (a + 8)}{a + 5}

$\frac{a + 5}{(a + 3) (a + 8)} \cdot \frac{(a - 7) (a + 8)}{a + 5}$

Step 2

Cancel the common factor of

a + 5

$a + 5$ .

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Step 2.1

Cancel the common factor.

$\frac{a + 5}{(a + 3) (a + 8)} \cdot \frac{(a - 7) (a + 8)}{a + 5}$

Step 2.2

Rewrite the expression.

$\frac{1}{(a + 3) (a + 8)} ((a - 7) (a + 8))$

Step 3

Cancel the common factor of

$a + 8$ .

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Step 3.1

Factor

$a + 8$ out of

$(a + 3) (a + 8)$ .

$\frac{1}{(a + 8) (a + 3)} ((a - 7) (a + 8))$

Step 3.2

Factor

$a + 8$ out of

$(a - 7) (a + 8)$ .

$\frac{1}{(a + 8) (a + 3)} ((a + 8) (a - 7))$

Step 3.3

Cancel the common factor.

$\frac{1}{(a + 8) (a + 3)} ((a + 8) (a - 7))$

Step 3.4

Rewrite the expression.

$\frac{1}{a + 3} (a - 7)$

Step 4

Multiply

$\frac{1}{a + 3}$ by

$a - 7$ .

$\frac{a - 7}{a + 3}$