Pre-Algebra Examples

$36 % (85)$

Step 1

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

$36 % (85) = \frac{36 (85)}{100}$

Step 2

Cancel the common factor of $36$ and $100$ .

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Step 2.1

Factor $4$ out of $36 (85)$ .

$\frac{4 (9 \cdot 85)}{100}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $4$ out of $100$ .

$\frac{4 (9 \cdot 85)}{4 (25)}$

Step 2.2.2

Cancel the common factor.

$\frac{4 (9 \cdot 85)}{4 \cdot 25}$

Step 2.2.3

Rewrite the expression.

$\frac{9 \cdot 85}{25}$

Step 3

Cancel the common factor of $85$ and $25$ .

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Step 3.1

Factor $5$ out of $9 \cdot 85$ .

$\frac{5 (9 \cdot 17)}{25}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $5$ out of $25$ .

$\frac{5 (9 \cdot 17)}{5 (5)}$

Step 3.2.2

Cancel the common factor.

$\frac{5 (9 \cdot 17)}{5 \cdot 5}$

Step 3.2.3

Rewrite the expression.

$\frac{9 \cdot 17}{5}$

Step 4

Multiply $9$ by $17$ .

$\frac{153}{5}$