Pre-Algebra Examples

$\frac{8}{35 a} \div \frac{- 9}{25 a}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{8}{35 a} \cdot \frac{25 a}{- 9}$

Step 2

Cancel the common factor of $5 a$ .

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Step 2.1

Factor $5 a$ out of $35 a$ .

$\frac{8}{5 a (7)} \cdot \frac{25 a}{- 9}$

Step 2.2

Factor $5 a$ out of $25 a$ .

$\frac{8}{5 a (7)} \cdot \frac{5 a (5)}{- 9}$

Step 2.3

Cancel the common factor.

$\frac{8}{5 a \cdot 7} \cdot \frac{5 a \cdot 5}{- 9}$

Step 2.4

Rewrite the expression.

$\frac{8}{7} \cdot \frac{5}{- 9}$

Step 3

Multiply $\frac{8}{7}$ by $\frac{5}{- 9}$ .

$\frac{8 \cdot 5}{7 \cdot - 9}$

Step 4

Multiply $8$ by $5$ .

$\frac{40}{7 \cdot - 9}$

Step 5

Multiply $7$ by $- 9$ .

$\frac{40}{- 63}$

Step 6

Move the negative in front of the fraction.

$- \frac{40}{63}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{40}{63}$

Decimal Form:

$- 0.\overline{634920}$