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The number that should be added to $− 5 8$ so as to get $− 3 2$ is:

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− 5 8

− 6 8

− 7 8

− 9 8

answer is C.

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Detailed Solution

Given a rational number

− 5 8

.
Let the number that has to be added = x.
According to the question,

− 5 8 + x = − 3 2

Adding

58

on both sides,

− 5 8 + 58 + x = − 3 2 + 58 x = − 3 2 + 58

The L.C.M of 2 and 8 is 8.
Now, taking L.C.M and simplifying.

= − 3 × 4 + 5 × 1 8 = − 12 + 5 8

= − 7 8

The required rational number is

− 7 8

.
Hence, option 3 is correct.

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