Basic Math Examples

$\frac{4 z - 27}{3} - 3$

Step 1

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

$\frac{4 z - 27}{3} - 3 \cdot \frac{3}{3}$

Step 2

Simplify terms.

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Step 2.1

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

$\frac{4 z - 27}{3} + \frac{- 3 \cdot 3}{3}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{4 z - 27 - 3 \cdot 3}{3}$

Step 3

Simplify the numerator.

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Step 3.1

Multiply $- 3$ by $3$ .

$\frac{4 z - 27 - 9}{3}$

Step 3.2

Subtract $9$ from $- 27$ .

$\frac{4 z - 36}{3}$

Step 3.3

Factor $4$ out of $4 z - 36$ .

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Step 3.3.1

Factor $4$ out of $4 z$ .

$\frac{4 (z) - 36}{3}$

Step 3.3.2

Factor $4$ out of $- 36$ .

$\frac{4 z + 4 \cdot - 9}{3}$

Step 3.3.3

Factor $4$ out of $4 z + 4 \cdot - 9$ .

$\frac{4 (z - 9)}{3}$