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Mathematics

Grade-7

Easy

Question

Simplify $2 open parentheses negative 1 third close parentheses space plus space 3 open parentheses negative 1 fourth close parentheses space plus space 1 open parentheses fraction numerator negative 1 over denominator 2 end fraction close parentheses$

$- \frac{11}{13}$
$- \frac{23}{12}$
$- \frac{12}{23}$
$- \frac{13}{11}$

hint Hint:

Solve using BODMASS.

The correct answer is: $negative 23 over 12$

STEP BY STEP SOLUTION
$2 open parentheses negative 1 third close parentheses space plus space 3 open parentheses fraction numerator negative 1 over denominator 4 end fraction close parentheses space plus space 1 open parentheses fraction numerator negative 1 over denominator 2 end fraction close parentheses space O p e n i n g space b r a c k e t s space a n d space m u l t i p l y i n g space equals space fraction numerator negative 2 over denominator 3 end fraction space minus space 3 over 4 space minus space 1 half T a k i n g space L C M space o f space 3 comma 4 & 2 space left parenthesis i. e space 12 right parenthesis space equals space fraction numerator negative 8 space minus space 9 space minus space 6 over denominator 12 end fraction space equals space fraction numerator negative 23 over denominator 12 end fraction$

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