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The addition of the rational numbers $7 − 18$ and $827$ is:

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− 3 54

− 9 54

− 7 54

− 5 54

answer is D.

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Detailed Solution

Given 2 rational numbers

7 − 18

and

827

.
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 × 33 + 827 × 22 = − 21 54 + 1654

= − 21 + 16 54 = − 5 54

The addition is

− 5 54

.
Hence, option 4 is correct.

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