Pre-Algebra Examples

$\frac{4}{5} \div \frac{3}{7}$

Step 1

To convert from slope to percent grade, multiply the slope by a hundred.

$\frac{4}{5} \div \frac{3}{7} = \frac{4}{5} \div \frac{3}{7} \cdot 100$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{5} \cdot \frac{7}{3} \cdot 100 %$

Step 3

Multiply $\frac{4}{5} \cdot \frac{7}{3}$ .

Tap for more steps...

Step 3.1

Multiply $\frac{4}{5}$ by $\frac{7}{3}$ .

$\frac{4 \cdot 7}{5 \cdot 3} \cdot 100 %$

Step 3.2

Multiply $4$ by $7$ .

$\frac{28}{5 \cdot 3} \cdot 100 %$

Step 3.3

Multiply $5$ by $3$ .

$\frac{28}{15} \cdot 100 %$

Step 4

Cancel the common factor of $5$ .

Tap for more steps...

Step 4.1

Factor $5$ out of $15$ .

$\frac{28}{5 (3)} \cdot 100 %$

Step 4.2

Factor $5$ out of $100$ .

$\frac{28}{5 \cdot 3} \cdot 5 \cdot 20 %$

Step 4.3

Cancel the common factor.

$\frac{28}{5 \cdot 3} \cdot 5 \cdot 20 %$

Step 4.4

Rewrite the expression.

$\frac{28}{3} \cdot 20 %$

Step 5

Combine $\frac{28}{3}$ and $20$ .

$\frac{28 \cdot 20}{3 %}$

Step 6

Multiply $28$ by $20$ .

$\frac{560}{3 %}$