Question

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Answer 1

$\huge \fbox \green{Solution:}$

$\sf \colorbox{pink} {Ans. (i)}$

Given:

$⇒ \frac{11}{12} + \frac{ - 17}{3} + \frac{11}{2} + \frac{ - 25}{2}$

$⇒ \frac{11 - 68}{12} + \frac{11 - 25}{2}$

$⇒ \frac{ - 57}{12} + \frac{ - 14}{2}$

$⇒ \frac{ - 57 - 84}{12}$

$⇒ \frac{ - 141}{12}$

$:Answer \: is \: \frac{ - 47}{4}$

$\sf \colorbox{pink} {Ans. (ii)}$

we Have

$\frac{ - 6}{7} + \frac{ - 5}{6} + \frac{ - 4}{9} + \frac{ - 15}{7}$

• Using Commutative Property

$= ( \frac{ - 6}{7} ) + ( \frac{ - 15}{7} ) + ( \frac{ - 5}{6} ) + ( \frac{ - 4}{9} )$

$= ( \frac{( - 6) + ( - 15)}{7} ) + (\frac{3( - 5) + 2( - 4)}{18} )$

$[∴LCM (7 ,7) = 7 \: and \: LCM (6 ,9) = 18]$

$= ( \frac{ - 6 - 15}{7} ) + ( \frac{ - 15 - 8}{18} )$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [∴( + )( - ) = ( - )]$

$= ( \frac{ - 21}{7} ) + ( \frac{ - 23}{18} )$

$= \frac{( - 21)18 + 7( - 23)}{126}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [∴LCM (7 ,18) = 126]$

$= \frac{ - 378 - 161}{126}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [∴( + )( - ) = ( - )]$

$= \frac{ - 539}{126}$

Hence,

$\frac{ - 6}{7} + \frac{ - 5}{6} + \frac{ - 4}{9} + \frac{ - 15}{7} = \frac{ - 539}{126}$

$= \frac{ - 77}{18}$

$\sf \colorbox{pink} {Ans. (iii)}$

Look at the

$\\ \\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$