We have, 16+ 25 215=16 25+215 nbsp; nbsp;[ since ( 215 )=215 ] =1× 5 2× 6+2× 230 nbsp; nbsp;[LCM of 6,5,15 is 30] =5 12+430=9 1230= 330= 110 ...

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Addition and Subtraction of Algebraic Expression

Simplify: 16+...

Question

Simplify: $\frac{1}{6} + \frac{- 2}{5} - \frac{- 2}{15}$

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Solution

We have,
$\frac{1}{6} + \frac{- 2}{5} - \frac{- 2}{15} = \frac{1}{6} - \frac{2}{5} + \frac{2}{15}$ $[since - (\frac{- 2}{15}) = \frac{2}{15}]$
$= \frac{1 \times 5 - 2 \times 6 + 2 \times 2}{30}$ [LCM of $6, 5, 15$ is $30$ ]
$= \frac{5 - 12 + 4}{30} = \frac{9 - 12}{30} = \frac{- 3}{30} = \frac{- 1}{10}$

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