Algebra Examples

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

Step 1

To divide by a fraction, multiply by its reciprocal.

$6 (\frac{7}{9})$

Step 2

Cancel the common factor of $3$ .

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Factor $3$ out of $6$ .

$3 (2) \frac{7}{9}$

Factor $3$ out of $9$ .

$3 \cdot 2 \frac{7}{3 \cdot 3}$

Cancel the common factor.

$3 \cdot 2 \frac{7}{3 \cdot 3}$

Rewrite the expression.

$2 (\frac{7}{3})$

Step 3

Combine $2$ and $\frac{7}{3}$ .

$\frac{2 \cdot 7}{3}$

Step 4

Multiply $2$ by $7$ .

$\frac{14}{3}$