Pre-Algebra Examples

$156.4 \div 66 %$

Step 1

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

$156.4 \div 66 % = 156.4 \div \frac{66}{100}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$156.4 (\frac{100}{66})$

Step 3

Cancel the common factor of $100$ and $66$ .

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Step 3.1

Factor $2$ out of $100$ .

$156.4 \frac{2 (50)}{66}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $66$ .

$156.4 \frac{2 \cdot 50}{2 \cdot 33}$

Step 3.2.2

Cancel the common factor.

$156.4 \frac{2 \cdot 50}{2 \cdot 33}$

Step 3.2.3

Rewrite the expression.

$156.4 (\frac{50}{33})$

Step 4

Multiply $156.4 (\frac{50}{33})$ .

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Step 4.1

Combine $156.4$ and $\frac{50}{33}$ .

$\frac{156.4 \cdot 50}{33}$

Step 4.2

Multiply $156.4$ by $50$ .

$\frac{7820}{33}$

Step 5

Cancel the common factor of $7820$ and $33$ .

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Step 5.1

Rewrite $7820$ as $1 (7820)$ .

$\frac{1 (7820)}{33}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Rewrite $33$ as $1 (33)$ .

$\frac{1 \cdot 7820}{1 \cdot 33}$

Step 5.2.2

Cancel the common factor.

$\frac{1 \cdot 7820}{1 \cdot 33}$

Step 5.2.3

Rewrite the expression.

$\frac{7820}{33}$