Question

verify (a+b)+c=a+(b+c) for a=5/6, b=-1/3, c=-3/4​

Answer 1

$\huge{ \green{ \boxed{ \purple{\dag{ \mathfrak{ \orange{ \underline{ \underline{ \blue{answer}}}}}}}}}}$

${ \mathfrak{ \red{ \underline{ \green{given}}}}}$

$a = \frac{5}{6}$

$b = \frac{ - 1}{3}$

$c = \frac{ - 3}{4}$

$\purple{ \underline{\red{ \mathfrak{to \: verify}}}}$

$(a + b) + c = a + (b + c)$

$\red{\underline{\pink{solution}}}$

$lhs = (a + b) + c$

$\rightarrow ( \frac{5}{6} + \frac{ - 1}{3} )+ \frac{ - 3}{4}$

$\rightarrow \frac{5 - 2}{6} + \frac{ - 3}{4}$

$\rightarrow \frac{3}{6} + \frac{ - 3}{4}$

$\rightarrow \frac{2}{4} + \frac{ - 3}{4}$

$\rightarrow \frac{ - 1}{4}$

$rhs = a + (b + c)$

$\rightarrow \frac{5}{6} + ( \frac{ - 1}{3} + \frac{ - 3}{4} )$

$\rightarrow \frac{5}{6} + \frac{ - 4 - 9}{12}$

$\rightarrow \frac{5}{6} + \frac{ - 13}{12}$

$\rightarrow \frac{10 - 13}{12}$

$\rightarrow \frac{ - 3}{12}$

$\rightarrow \frac{ - 1}{4}$

$therefore$

$lhs = rhs$

$(a + b) + c = a + (b + c)$