Let #160; a=35x+23x 45x #160; #160; #160; #160; #160; =(35x 45x)+23x #160; #160; #160; #160; #160; =3 45x+23x #1 ...

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Addition of Fractions

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Question

Add: $\frac{3}{5} x, \frac{2}{3} x, \frac{- 4}{5} x$

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Solution

Let $a = \frac{3}{5} x + \frac{2}{3} x - \frac{4}{5} x$

$= (\frac{3}{5} x - \frac{4}{5} x) + \frac{2}{3} x$

$= \frac{3 - 4}{5} x + \frac{2}{3} x$

$= \frac{- 1}{5} x + \frac{2}{3} x$

$= (\frac{- 1}{5} + \frac{2}{3}) x$

$= \frac{- 3 + 10}{15} x$

$a = \frac{7}{15} x$

$\frac{3}{5} x + \frac{2}{3} x - \frac{4}{5} x = \frac{7}{15} x$

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