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Mathematics

Grade-7

Easy

Question

Simplify $straight x space plus space open parentheses negative 8 over 9 close parentheses space equals space 13 over 4 space cross times space 1 third$

$\frac{36}{31}$
$\frac{31}{36}$
$\frac{71}{36}$
$\frac{36}{71}$

hint Hint:

Solving using the BODMASS rule.

The correct answer is: $71 over 36$

STEP BY STEP SOLUTION
$straight x space plus space open parentheses fraction numerator negative 8 over denominator 9 end fraction close parentheses space equals space 13 over 4 space cross times space 1 third S o l v i n g space f o r space t h e space v a l u e space o f space x straight x space equals space 13 over 4 space cross times space 1 third space plus space 8 over 9 F o l l o w i n g space t h e space B O D M A S S space r u l e space 1 s t space m u l t i p l y i n g space equals space 13 over 12 space plus space 8 over 9 T a k i n g space L C M space o f space 12 space & space 9 space left parenthesis i. e space 36 right parenthesis equals space fraction numerator 39 space plus space 32 over denominator 36 end fraction equals space 71 over 36$

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