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The addition of the rational numbers $− 5 16$ and $724$ is:

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− 1 48

− 3 48

− 5 48

− 9 48

answer is A.

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Detailed Solution

Given 2 rational numbers

− 5 16

and

724

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

16 = 2 × 2 × 2 × 2

.
Prime factors of

24 = 2 × 2 × 2 × 3

.
L.C.M of 16 and 24 is,

= 2 × 2 × 2 × 2 × 3 = 48

Now, simplifying the given expression.

= − 5 16 × 33 + 724 × 22 = − 15 48 + 1448

= − 15 + 14 48 = − 1 48

The addition is

− 1 48

.
Hence, option 1 is correct.

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