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The addition of the rational numbers $58$ and $− 7 12$ is:

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124

524

624

1124

answer is A.

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Detailed Solution

Given 2 rational numbers

58

and

− 7 12

.
Firstly, finding the L.C.M of denominator.
Prime factors of

8 = 2 × 2 × 2

.
Prime factors of

12 = 2 × 2 × 3

.
L.C.M of 8 and 12 is,

= 2 × 2 × 2 × 3 = 24

Now, simplifying the given expression.

= 58 × 33 + − 7 12 × 22 = 1524 + − 14 24

= 15 + − 14 24 = 15 − 14 24 = 124

The addition is

124

.
Hence, option 1 is correct.

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