Basic Math Examples

$12 (\frac{y}{3} - \frac{z}{4})$

Step 1

Apply the distributive property.

$12 \frac{y}{3} + 12 (- \frac{z}{4})$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $12$ .

$3 (4) \frac{y}{3} + 12 (- \frac{z}{4})$

Step 2.2

Cancel the common factor.

$3 \cdot 4 \frac{y}{3} + 12 (- \frac{z}{4})$

Step 2.3

Rewrite the expression.

$4 y + 12 (- \frac{z}{4})$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

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

$4 y + 12 \frac{- z}{4}$

Step 3.2

Factor $4$ out of $12$ .

$4 y + 4 (3) \frac{- z}{4}$

Step 3.3

Cancel the common factor.

$4 y + 4 \cdot 3 \frac{- z}{4}$

Step 3.4

Rewrite the expression.

$4 y + 3 (- z)$

Step 4

Multiply $- 1$ by $3$ .

$4 y - 3 z$