What is 2 1/6-3+1/3 ?

The solution to 2 1/6-3+1/3 is -1/2

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2 1/6-3+1/3

2 \frac{1}{6} - 3 + \frac{1}{3}

- \frac{1}{2}

Solution steps

2 \frac{1}{6} - 3 + \frac{1}{3}

Convert mixed numbers to improper fractions:

2 \frac{1}{6} = \frac{13}{6}

= \frac{13}{6} - 3 + \frac{1}{3}

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{13}{6} - 3 + \frac{1}{3} : - \frac{1}{2}

= - \frac{1}{2}

6 \times 3 - 5 \times 4 + 8 \div 2 - 14 \div 7

\frac{- 3 ^{2} + 7}{4}

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

95 + (- 120 + 65 - 70)

- 46 + 84 + 95 - 218