What is 7/3+4-8/3+2 1/3 ?

The solution to 7/3+4-8/3+2 1/3 is 6

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7/3+4-8/3+2 1/3

\frac{7}{3} + 4 - \frac{8}{3} + 2 \frac{1}{3}

6

Solution steps

\frac{7}{3} + 4 - \frac{8}{3} + 2 \frac{1}{3}

Convert mixed numbers to improper fractions:

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

= \frac{7}{3} + 4 - \frac{8}{3} + \frac{7}{3}

Follow the PEMDAS order of operations

Add and subtract (left to right)

\frac{7}{3} + 4 - \frac{8}{3} + \frac{7}{3} : 6

= 6

- (3 - 3)^{2} - 7

3^{3} \div 3^{2} + 5 \times (6^{2} - 2^{4}) - 3

- 3 \cdot (72 - 138)

108 - 180 + 63

4 \cdot 3^{4}