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$If x = 110 and y = − 3 8, then$ evaluate x + y, x – y, x × y and $x ÷ y$ evaluate x + y, x – y, x × y and .

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− 13 41

1942

− 11 80

and

− 5 16

− 11 40

1940

− 3 80

and

− 4 15

− 12 39

2141

380

and

1415

940

1943

− 23 80

and

715

answer is B.

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Detailed Solution

Here, we are given that

x = 110

and

y = − 3 8

.
We will do the addition by taking the LCM as follows,

x + y = 110 + − 3 8 x + y = 4 + (− 15) 40 x + y = − 11 40

Next, we will do the subtraction by taking the LCM as follows,

x − y = 110 − − 3 8 x − y = 4 − (− 15) 40 x − y = 4 + 15 40 x − y = 1940

Next, we will do the multiplication by multiplying the numerators and denominators of the given rational numbers as follows,

x × y = 110 × − 3 8 = − 3 10 × 8 = − 3 80

Now, we will perform the last operation i.e., division by taking the reciprocal of

− 3 8

as follows,

x ÷ y = 110 × − 8 3 x ÷ y = 15 × − 4 3 x ÷ y = − 4 5 × 3 x ÷ y = − 4 15

So, the results of the respective computations are

− 11 40

1940

− 3 80

and

− 4 15

.
Hence, the correct option is (2).

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