Pre-Algebra Examples

$\frac{6}{7} \div \frac{4}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{6}{7} \cdot \frac{5}{4}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $6$ .

$\frac{2 (3)}{7} \cdot \frac{5}{4}$

Step 2.2

Factor $2$ out of $4$ .

$\frac{2 \cdot 3}{7} \cdot \frac{5}{2 \cdot 2}$

Step 2.3

Cancel the common factor.

$\frac{2 \cdot 3}{7} \cdot \frac{5}{2 \cdot 2}$

Step 2.4

Rewrite the expression.

$\frac{3}{7} \cdot \frac{5}{2}$

Step 3

Multiply $\frac{3}{7}$ by $\frac{5}{2}$ .

$\frac{3 \cdot 5}{7 \cdot 2}$

Step 4

Multiply $3$ by $5$ .

$\frac{15}{7 \cdot 2}$

Step 5

Multiply $7$ by $2$ .

$\frac{15}{14}$