Evaluate 2/15+1/2-2/3

$\frac{2}{15} + \frac{1}{2} - \frac{2}{3}$

Step 1

Find the common denominator.

Multiply $\frac{2}{15}$ by $\frac{2}{2}$ .

$\frac{2}{15} \cdot \frac{2}{2} + \frac{1}{2} - \frac{2}{3}$

Multiply $\frac{2}{15}$ by $\frac{2}{2}$ .

$\frac{2 \cdot 2}{15 \cdot 2} + \frac{1}{2} - \frac{2}{3}$

Multiply $\frac{1}{2}$ by $\frac{15}{15}$ .

$\frac{2 \cdot 2}{15 \cdot 2} + \frac{1}{2} \cdot \frac{15}{15} - \frac{2}{3}$

Multiply $\frac{1}{2}$ by $\frac{15}{15}$ .

$\frac{2 \cdot 2}{15 \cdot 2} + \frac{15}{2 \cdot 15} - \frac{2}{3}$

Multiply $\frac{2}{3}$ by $\frac{10}{10}$ .

$\frac{2 \cdot 2}{15 \cdot 2} + \frac{15}{2 \cdot 15} - (\frac{2}{3} \cdot \frac{10}{10})$

Multiply $\frac{2}{3}$ by $\frac{10}{10}$ .

$\frac{2 \cdot 2}{15 \cdot 2} + \frac{15}{2 \cdot 15} - \frac{2 \cdot 10}{3 \cdot 10}$

Reorder the factors of $15 \cdot 2$ .

$\frac{2 \cdot 2}{2 \cdot 15} + \frac{15}{2 \cdot 15} - \frac{2 \cdot 10}{3 \cdot 10}$

Multiply $2$ by $15$ .

$\frac{2 \cdot 2}{30} + \frac{15}{2 \cdot 15} - \frac{2 \cdot 10}{3 \cdot 10}$

Multiply $2$ by $15$ .

$\frac{2 \cdot 2}{30} + \frac{15}{30} - \frac{2 \cdot 10}{3 \cdot 10}$

Multiply $3$ by $10$ .

$\frac{2 \cdot 2}{30} + \frac{15}{30} - \frac{2 \cdot 10}{30}$

Step 2

Combine the numerators over the common denominator.

$\frac{2 \cdot 2 + 15 - 2 \cdot 10}{30}$

Step 3

Simplify each term.

Multiply $2$ by $2$ .

$\frac{4 + 15 - 2 \cdot 10}{30}$

Multiply $- 2$ by $10$ .

$\frac{4 + 15 - 20}{30}$

Step 4

Simplify the expression.

Add $4$ and $15$ .

$\frac{19 - 20}{30}$

Subtract $20$ from $19$ .

$\frac{- 1}{30}$

Move the negative in front of the fraction.

$- \frac{1}{30}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{30}$

Decimal Form:

$- 0.0\overline{3}$

Evaluate 2/15+1/2-2/3

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