Basic Math Examples

$\frac{- 9 z}{2} + 15 z$

Step 1

Move the negative in front of the fraction.

$- \frac{9 z}{2} + 15 z$

Step 2

To write $15 z$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{9 z}{2} + 15 z \cdot \frac{2}{2}$

Step 3

Simplify terms.

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Step 3.1

Combine $15 z$ and $\frac{2}{2}$ .

$- \frac{9 z}{2} + \frac{15 z \cdot 2}{2}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{- 9 z + 15 z \cdot 2}{2}$

Step 4

Simplify the numerator.

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Step 4.1

Factor $3 z$ out of $- 9 z + 15 z \cdot 2$ .

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Step 4.1.1

Factor $3 z$ out of $- 9 z$ .

$\frac{3 z (- 3) + 15 z \cdot 2}{2}$

Step 4.1.2

Factor $3 z$ out of $15 z \cdot 2$ .

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

Step 4.1.3

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

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

Step 4.2

Multiply $5$ by $2$ .

$\frac{3 z (- 3 + 10)}{2}$

Step 4.3

Add $- 3$ and $10$ .

$\frac{3 z \cdot 7}{2}$

Step 4.4

Multiply $7$ by $3$ .

$\frac{21 z}{2}$