Evaluate 3/4(4h-6)

$\frac{3}{4} (4 h - 6)$

Step 1

Apply the distributive property.

$\frac{3}{4} (4 h) + \frac{3}{4} \cdot - 6$

Step 2

Cancel the common factor of $4$ .

Factor $4$ out of $4 h$ .

$\frac{3}{4} (4 (h)) + \frac{3}{4} \cdot - 6$

Cancel the common factor.

$\frac{3}{4} (4 h) + \frac{3}{4} \cdot - 6$

Rewrite the expression.

$3 h + \frac{3}{4} \cdot - 6$

$3 h + \frac{3}{4} \cdot - 6$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$3 h + \frac{3}{2 (2)} \cdot - 6$

Factor $2$ out of $- 6$ .

$3 h + \frac{3}{2 \cdot 2} \cdot (2 \cdot - 3)$

Cancel the common factor.

$3 h + \frac{3}{2 \cdot 2} \cdot (2 \cdot - 3)$

Rewrite the expression.

$3 h + \frac{3}{2} \cdot - 3$

$3 h + \frac{3}{2} \cdot - 3$

Step 4

Combine $\frac{3}{2}$ and $- 3$ .

$3 h + \frac{3 \cdot - 3}{2}$

Step 5

Simplify the expression.

Multiply $3$ by $- 3$ .

$3 h + \frac{- 9}{2}$

Move the negative in front of the fraction.

$3 h - \frac{9}{2}$

$3 h - \frac{9}{2}$

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