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(vi)
2(2)/(3)+3(1)/(2)

(vi) $2 \frac{2}{3}+3 \frac{1}{2}$

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Evaluate integers raised to rational exponents

Full solution

Q. (vi)

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

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $2\frac{2}{3} = 2 + \frac{2}{3} = \frac{6}{3} + \frac{2}{3} = \frac{8}{3}$ , $\newline$ $3\frac{1}{2} = 3 + \frac{1}{2} = \frac{6}{2} + \frac{1}{2} = \frac{7}{2}$ ,
Add Improper Fractions: Add the two improper fractions. $\newline$ To add $\frac{8}{3}$ and $\frac{7}{2}$ , find a common denominator, which is $6$ . $\newline$ $\frac{8}{3} = \left(\frac{8\times2}{3\times2}\right) = \frac{16}{6}$ , $\newline$ $\frac{7}{2} = \left(\frac{7\times3}{2\times3}\right) = \frac{21}{6}$ , $\newline$ $\frac{16}{6} + \frac{21}{6} = \frac{37}{6}$ ,
Simplify Result: Simplify the result if possible. $\frac{37}{6}$ is already in its simplest form,

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