Pre-Algebra Examples

$(- 5 x - \frac{2}{3}) + (- 4 x - \frac{1}{9})$

Step 1

Remove parentheses.

$- 5 x - \frac{2}{3} - 4 x - \frac{1}{9}$

Step 2

Subtract $4 x$ from $- 5 x$ .

$- 9 x - \frac{2}{3} - \frac{1}{9}$

Step 3

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

$- 9 x - \frac{2}{3} \cdot \frac{3}{3} - \frac{1}{9}$

Step 4

Write each expression with a common denominator of $9$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{2}{3}$ by $\frac{3}{3}$ .

$- 9 x - \frac{2 \cdot 3}{3 \cdot 3} - \frac{1}{9}$

Step 4.2

Multiply $3$ by $3$ .

$- 9 x - \frac{2 \cdot 3}{9} - \frac{1}{9}$

Step 5

Combine the numerators over the common denominator.

$- 9 x + \frac{- 2 \cdot 3 - 1}{9}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 2$ by $3$ .

$- 9 x + \frac{- 6 - 1}{9}$

Step 6.2

Subtract $1$ from $- 6$ .

$- 9 x + \frac{- 7}{9}$

Step 7

Move the negative in front of the fraction.

$- 9 x - \frac{7}{9}$