Basic Math Examples

$\frac{a}{2} - \frac{1}{3} - \frac{3}{6}$

Step 1

Factor $\frac{1}{2}$ out of each term.

$\frac{1}{2} (a - \frac{2}{3} - \frac{3}{3})$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Cancel the common factor.

$\frac{1}{2} \cdot (a - \frac{2}{3} - \frac{3}{3})$

Step 2.2

Rewrite the expression.

$\frac{1}{2} \cdot (a - \frac{2}{3} - 1 \cdot 1)$

Step 3

Multiply $- 1$ by $1$ .

$\frac{1}{2} \cdot (a - \frac{2}{3} - 1)$

Step 4

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{1}{2} \cdot (a - \frac{2}{3} - 1 \cdot \frac{3}{3})$

Step 5

Combine $- 1$ and $\frac{3}{3}$ .

$\frac{1}{2} \cdot (a - \frac{2}{3} + \frac{- 1 \cdot 3}{3})$

Step 6

Combine the numerators over the common denominator.

$\frac{1}{2} \cdot (a + \frac{- 2 - 1 \cdot 3}{3})$

Step 7

Simplify the numerator.

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Step 7.1

Multiply $- 1$ by $3$ .

$\frac{1}{2} \cdot (a + \frac{- 2 - 3}{3})$

Step 7.2

Subtract $3$ from $- 2$ .

$\frac{1}{2} \cdot (a + \frac{- 5}{3})$