Algebra Examples

$- \frac{4}{3} (3 q - 10)$

Step 1

Apply the distributive property.

$- \frac{4}{3} (3 q) - \frac{4}{3} \cdot - 10$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$\frac{- 4}{3} (3 q) - \frac{4}{3} \cdot - 10$

Step 2.2

Factor $3$ out of $3 q$ .

$\frac{- 4}{3} (3 (q)) - \frac{4}{3} \cdot - 10$

Step 2.3

Cancel the common factor.

$\frac{- 4}{3} (3 q) - \frac{4}{3} \cdot - 10$

Step 2.4

Rewrite the expression.

$- 4 q - \frac{4}{3} \cdot - 10$

Step 3

Multiply $- \frac{4}{3} \cdot - 10$ .

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Step 3.1

Multiply $- 10$ by $- 1$ .

$- 4 q + 10 (\frac{4}{3})$

Step 3.2

Combine $10$ and $\frac{4}{3}$ .

$- 4 q + \frac{10 \cdot 4}{3}$

Step 3.3

Multiply $10$ by $4$ .

$- 4 q + \frac{40}{3}$