The solution to -2-1/3+2 is -1/3

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-2-1/3+2

Solution

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

- \frac{1}{3}

Solution steps

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

Follow the PEMDAS order of operations

Add and subtract (left to right)

- 2 - \frac{1}{3} = - \frac{7}{3}

= - \frac{7}{3} + 2

- \frac{7}{3} + 2 = - \frac{1}{3}

- \frac{7}{3} + 2

Convert element to fraction:

2 = \frac{2 \cdot 3}{3}

= \frac{2 \cdot 3}{3} - \frac{7}{3}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{2 \cdot 3 - 7}{3}

2 \cdot 3 - 7 = - 1

2 \cdot 3 - 7

Multiply the numbers:

2 \cdot 3 = 6

= 6 - 7

Subtract the numbers:

6 - 7 = - 1

= - 1

= \frac{- 1}{3}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{1}{3}

= - \frac{1}{3}

8 \frac{1}{2} + 3 \times 7 - 18

5 \cdot (- 3) + ((8) \div 2) + (15) \div (- 3)

6 3^{2} + 1 6^{2}

9 \times 2 - ((5 \times 6 - 4) - 12)

- 4 (18 \div 2) + (24 \div (4 \times 3))