Question

find -1/2+(3/7+(-4/3)) and (-1/2+3/7)+(-4/3) are they equal? verify.​

Answer 1

$\huge\bold\red{Answer}$

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Answer 2

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Question}}}}}}}}$

$prove :-</p><p>\dfrac{-1}{2} +( \dfrac{3}{7} + \dfrac{-4}{3}) =( \dfrac{-1}{2} + \dfrac{3}{7}) + \dfrac{-4}{3}$

${\huge{\bold{\purple{\bigstar{\boxed{\boxed{\bf{Solution}}}}}}}}$

$</p><p>\dfrac{-1}{2} +( \dfrac{3}{7} + \dfrac{-4}{3} )= (\dfrac{-1}{2} + \dfrac{3}{7} )+ \dfrac{-4}{3}$

LHS:-

$\dfrac{-1}{2} +( \dfrac{3}{7} + \dfrac{-4}{3})$

$\dfrac{-1}{2} +( \dfrac{3*3+(-4)*7}{21} )$

$\dfrac{-1}{2} +( \dfrac{9-28}{21} )$

$\dfrac{-1}{2} +\dfrac{-19}{21}$

$\dfrac{-21-38}{42}$

$\dfrac{-59}{42}$

${\bold{\blue{\boxed{\bf{\dfrac{-59}{42}}}}}}$

RHS:-

$(\dfrac{-1}{2} +\dfrac{3}{7} )+ \dfrac{-4}{3}$

$(\dfrac{-7+6}{14} )+ \dfrac{-4}{3}$

$(\dfrac{-1}{14} )+ \dfrac{-4}{3}$

$\dfrac{-3 - 56}{42}$

$\dfrac{-59}{42}$

${\bold{\blue{\boxed{\bf{\dfrac{-59}{42}}}}}}$

Compare:-

${\bold{\blue{\boxed{\bf{\dfrac{-59}{42}=\dfrac{-59}{42} }}}}}$

LHS = RHS

...........Hence proved

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