Basic Math Examples

$z + \frac{9}{15} = - \frac{6}{15}$

Step 1

Cancel the common factor of $9$ and $15$ .

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Step 1.1

Factor $3$ out of $9$ .

$z + \frac{3 (3)}{15} = - \frac{6}{15}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $3$ out of $15$ .

$z + \frac{3 \cdot 3}{3 \cdot 5} = - \frac{6}{15}$

Step 1.2.2

Cancel the common factor.

$z + \frac{3 \cdot 3}{3 \cdot 5} = - \frac{6}{15}$

Step 1.2.3

Rewrite the expression.

$z + \frac{3}{5} = - \frac{6}{15}$

Step 2

Cancel the common factor of $6$ and $15$ .

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Step 2.1

Factor $3$ out of $6$ .

$z + \frac{3}{5} = - \frac{3 (2)}{15}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $15$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$z + \frac{3}{5} = - \frac{2}{5}$

Step 3

Move all terms not containing $z$ to the right side of the equation.

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Step 3.1

Subtract $\frac{3}{5}$ from both sides of the equation.

$z = - \frac{2}{5} - \frac{3}{5}$

Step 3.2

Combine the numerators over the common denominator.

$z = \frac{- 2 - 3}{5}$

Step 3.3

Subtract $3$ from $- 2$ .

$z = \frac{- 5}{5}$

Step 3.4

Divide $- 5$ by $5$ .

$z = - 1$