Question

Simplify (2/3) + (-4/5) + I - (-2/3) +(5/8) + (17/24)

Answer 1

Answer:

here's in the attachment

Answer 2

$Given \: \frac{2}{3} + \Big(\frac{-4}{5}\Big) + 1 - \Big(\frac{-2}{3}\Big)+\frac{5}{8} + \frac{17}{24}$

$= \frac{2}{3} - \frac{4}{5} + 1 + \frac{2}{3}+\frac{5}{8} + \frac{17}{24}$

/* Rearranging the terms,we get */

$= \frac{2}{3}+ \frac{2}{3} - \frac{4}{5} + 1 +\frac{5}{8} + \frac{17}{24}$

$= \frac{2+2}{3} - \frac{4}{5} + 1 + \frac{15+17}{24}$

$= \frac{4}{3} - \frac{4}{5} + 1 + \frac{32}{24}$

$= \frac{4}{3} - \frac{4}{5} + 1 + \frac{4}{3}$

$= \frac{20-12+15+20}{15}$

$= \frac{43}{15}$

Therefore.,

$\red{ \frac{2}{3} + \Big(\frac{-4}{5}\Big) + 1 - \Big(\frac{-2}{3}\Big)+\frac{5}{8} + \frac{17}{24}}$

$\green { = \frac{43}{15}}$

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