Pre-Algebra Examples

$\frac{1}{8} \div \frac{1}{2}$

Step 1

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

$\frac{1}{8} \div \frac{1}{2} = \frac{1}{8} \div \frac{1}{2} \cdot 100$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{8} \cdot 2 \cdot 100 %$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $8$ .

$\frac{1}{2 (4)} \cdot 2 \cdot 100 %$

Step 3.2

Cancel the common factor.

$\frac{1}{2 \cdot 4} \cdot 2 \cdot 100 %$

Step 3.3

Rewrite the expression.

$\frac{1}{4} \cdot 100 %$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Factor $4$ out of $100$ .

$\frac{1}{4} \cdot 4 (25) %$

Step 4.2

Cancel the common factor.

$\frac{1}{4} \cdot 4 \cdot 25 %$

Step 4.3

Rewrite the expression.

$25 %$