Basic Math Examples

$- \frac{5 z}{14} + \frac{9 z}{28}$

Step 1

To write $- \frac{5 z}{14}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{5 z}{14} \cdot \frac{2}{2} + \frac{9 z}{28}$

Step 2

Write each expression with a common denominator of $28$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{5 z}{14}$ by $\frac{2}{2}$ .

$- \frac{5 z \cdot 2}{14 \cdot 2} + \frac{9 z}{28}$

Step 2.2

Multiply $14$ by $2$ .

$- \frac{5 z \cdot 2}{28} + \frac{9 z}{28}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 5 z \cdot 2 + 9 z}{28}$

Step 4

Simplify the numerator.

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Step 4.1

Factor $z$ out of $- 5 z \cdot 2 + 9 z$ .

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Step 4.1.1

Factor $z$ out of $- 5 z \cdot 2$ .

$\frac{z (- 5 \cdot 2) + 9 z}{28}$

Step 4.1.2

Factor $z$ out of $9 z$ .

$\frac{z (- 5 \cdot 2) + z \cdot 9}{28}$

Step 4.1.3

Factor $z$ out of $z (- 5 \cdot 2) + z \cdot 9$ .

$\frac{z (- 5 \cdot 2 + 9)}{28}$

Step 4.2

Multiply $- 5$ by $2$ .

$\frac{z (- 10 + 9)}{28}$

Step 4.3

Add $- 10$ and $9$ .

$\frac{z \cdot - 1}{28}$

Step 5

Simplify the expression.

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Step 5.1

Move $- 1$ to the left of $z$ .

$\frac{- 1 \cdot z}{28}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{z}{28}$