Basic Math Examples

$7700 - 100 q^{2} + \frac{q^{2}}{3}$

Step 1

To write $- 100 q^{2}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$7700 - 100 q^{2} \cdot \frac{3}{3} + \frac{q^{2}}{3}$

Step 2

Simplify terms.

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Step 2.1

Combine $- 100 q^{2}$ and $\frac{3}{3}$ .

$7700 + \frac{- 100 q^{2} \cdot 3}{3} + \frac{q^{2}}{3}$

Step 2.2

Combine the numerators over the common denominator.

$7700 + \frac{- 100 q^{2} \cdot 3 + q^{2}}{3}$

Step 3

Simplify each term.

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Step 3.1

Simplify the numerator.

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Step 3.1.1

Factor $q^{2}$ out of $- 100 q^{2} \cdot 3 + q^{2}$ .

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Step 3.1.1.1

Factor $q^{2}$ out of $- 100 q^{2} \cdot 3$ .

$7700 + \frac{q^{2} (- 100 \cdot 3) + q^{2}}{3}$

Step 3.1.1.2

Multiply by $1$ .

$7700 + \frac{q^{2} (- 100 \cdot 3) + q^{2} \cdot 1}{3}$

Step 3.1.1.3

Factor $q^{2}$ out of $q^{2} (- 100 \cdot 3) + q^{2} \cdot 1$ .

$7700 + \frac{q^{2} (- 100 \cdot 3 + 1)}{3}$

Step 3.1.2

Multiply $- 100$ by $3$ .

$7700 + \frac{q^{2} (- 300 + 1)}{3}$

Step 3.1.3

Add $- 300$ and $1$ .

$7700 + \frac{q^{2} \cdot - 299}{3}$

Step 3.2

Move $- 299$ to the left of $q^{2}$ .

$7700 + \frac{- 299 \cdot q^{2}}{3}$

Step 3.3

Move the negative in front of the fraction.

$7700 - \frac{299 q^{2}}{3}$