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Q.

The addition of the rational numbers 7 −18   and 8 27   is:


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a

−3 54  

b

−9 54  

c

−7 54  

d

−5 54   

answer is D.

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Detailed Solution

Given 2 rational numbers 7 −18   and 8 27  .
Firstly, finding the L.C.M of denominator.
Prime factors of 18=2×3×3  .
Prime factors of 27=3×3×3  .
L.C.M of 18 and 27 is,
=2×3×3×3 =54  
Now, simplifying the given expression.
= −7 18 × 3 3 + 8 27 × 2 2 = −21 54 + 16 54  
= −21+16 54 = −5 54   The addition is −5 54  .
Hence, option 4 is correct.
 
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