Calculus Examples

$\frac{250 + 75 (110)}{100}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Cancel the common factor of $250 + 75 (110)$ and $100$ .

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Step 1.1.1

Factor $25$ out of $250$ .

$\frac{25 (10) + 75 (110)}{100}$

Step 1.1.2

Factor $25$ out of $75 (110)$ .

$\frac{25 (10) + 25 (3 \cdot 110)}{100}$

Step 1.1.3

Factor $25$ out of $25 (10) + 25 (3 \cdot 110)$ .

$\frac{25 (10 + 3 \cdot 110)}{100}$

Step 1.1.4

Cancel the common factors.

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Step 1.1.4.1

Factor $25$ out of $100$ .

$\frac{25 (10 + 3 \cdot 110)}{25 \cdot 4}$

Step 1.1.4.2

Cancel the common factor.

$\frac{25 (10 + 3 \cdot 110)}{25 \cdot 4}$

Step 1.1.4.3

Rewrite the expression.

$\frac{10 + 3 \cdot 110}{4}$

Step 1.2

Cancel the common factor of $10 + 3 \cdot 110$ and $4$ .

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Step 1.2.1

Reorder terms.

$\frac{3 \cdot 110 + 10}{4}$

Step 1.2.2

Factor $2$ out of $3 \cdot 110$ .

$\frac{2 (3 \cdot 55) + 10}{4}$

Step 1.2.3

Factor $2$ out of $10$ .

$\frac{2 (3 \cdot 55) + 2 (5)}{4}$

Step 1.2.4

Factor $2$ out of $2 (3 \cdot 55) + 2 (5)$ .

$\frac{2 (3 \cdot 55 + 5)}{4}$

Step 1.2.5

Cancel the common factors.

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Step 1.2.5.1

Factor $2$ out of $4$ .

$\frac{2 (3 \cdot 55 + 5)}{2 (2)}$

Step 1.2.5.2

Cancel the common factor.

$\frac{2 (3 \cdot 55 + 5)}{2 \cdot 2}$

Step 1.2.5.3

Rewrite the expression.

$\frac{3 \cdot 55 + 5}{2}$

Step 2

Simplify the numerator.

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Step 2.1

Multiply $3$ by $55$ .

$\frac{165 + 5}{2}$

Step 2.2

Add $165$ and $5$ .

$\frac{170}{2}$

Step 3

Divide $170$ by $2$ .

$85$