Pre-Algebra Examples

$\frac{16 + 24}{30 - 22}$

Step 1

Cancel the common factor of $16 + 24$ and $30 - 22$ .

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Step 1.1

Factor $2$ out of $16$ .

$\frac{2 (8) + 24}{30 - 22}$

Step 1.2

Factor $2$ out of $24$ .

$\frac{2 \cdot 8 + 2 \cdot 12}{30 - 22}$

Step 1.3

Factor $2$ out of $2 \cdot 8 + 2 \cdot 12$ .

$\frac{2 \cdot (8 + 12)}{30 - 22}$

Step 1.4

Cancel the common factors.

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Step 1.4.1

Factor $2$ out of $30$ .

$\frac{2 \cdot (8 + 12)}{2 (15) - 22}$

Step 1.4.2

Factor $2$ out of $- 22$ .

$\frac{2 \cdot (8 + 12)}{2 \cdot 15 + 2 \cdot - 11}$

Step 1.4.3

Factor $2$ out of $2 \cdot 15 + 2 \cdot - 11$ .

$\frac{2 \cdot (8 + 12)}{2 \cdot (15 - 11)}$

Step 1.4.4

Cancel the common factor.

$\frac{2 \cdot (8 + 12)}{2 \cdot (15 - 11)}$

Step 1.4.5

Rewrite the expression.

$\frac{8 + 12}{15 - 11}$

Step 2

Simplify the expression.

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Step 2.1

Add $8$ and $12$ .

$\frac{20}{15 - 11}$

Step 2.2

Subtract $11$ from $15$ .

$\frac{20}{4}$

Step 2.3

Divide $20$ by $4$ .

$5$