Pre-Algebra Examples

$\frac{7}{18} \div \frac{6}{9 a}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{18} \cdot \frac{9 a}{6}$

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Factor $9$ out of $18$ .

$\frac{7}{9 (2)} \cdot \frac{9 a}{6}$

Step 2.2

Factor $9$ out of $9 a$ .

$\frac{7}{9 (2)} \cdot \frac{9 (a)}{6}$

Step 2.3

Cancel the common factor.

$\frac{7}{9 \cdot 2} \cdot \frac{9 a}{6}$

Step 2.4

Rewrite the expression.

$\frac{7}{2} \cdot \frac{a}{6}$

Step 3

Multiply $\frac{7}{2}$ by $\frac{a}{6}$ .

$\frac{7 a}{2 \cdot 6}$

Step 4

Multiply $2$ by $6$ .

$\frac{7 a}{12}$