Question

-1/3+2/5=2/5+-1/3 represent which of the following property full solution​

Answer 1

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

$\underline {\pink{Commutative \: Property : }}$

$Two \:rational \: numbers \:can \:be \: added$

$in \:any \: order.$

$Thus \: for \:any \:two \: rational \: numbers$

$\frac{a}{b} , \frac{c}{d} , we \: have$

$\boxed{\blue{ \frac{a}{b} + \frac{c}{d} = \frac{c}{d} + \frac{a}{b}}}$

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

$= \frac{ -5 + 6}{15}$

$= \frac{1}{15} \: ---(1)$

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

$= \frac{ 6 - 5}{15}$

$= \frac{1}{15} \: ---(2)$

$\therefore LHS = RHS$

$\blue {\frac{ -1}{3}} + \pink {\frac{2}{5} }= \pink{\frac{ 2}{5} }+ \blue{\Big(\frac{-1}{3}\Big)}$

$\orange {( Commutative \: Property )}$

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