Question

(\frac{16}{3} + \frac{1}{2} - \frac{8}{3})

Explanation:

Step1: Combine like fractions

$\frac{16}{3} - \frac{8}{3} + \frac{1}{2}$

Step2: Calculate the result of like fractions

$\frac{16 - 8}{3} + \frac{1}{2} = \frac{8}{3} + \frac{1}{2}$

Step3: Find a common denominator and add

The common denominator of 3 and 2 is 6, so $\frac{8\times2}{3\times2} + \frac{1\times3}{2\times3} = \frac{16}{6} + \frac{3}{6} = \frac{16 + 3}{6} = \frac{19}{6}$

Answer:

$\frac{19}{6}$ (or $3\frac{1}{6}$)