Question

Add the following rational numbers (I)3/7 and -6/7(ii)-2 and -2/7 (iii)3/5 and -2 (iv) -5/12 and 5/8

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Answer 1

Answer:

(i) -3/7

(ii) -16/7

(iii) -7/5

(iv) 5/24

Step-by-step explanation:

In all the cases we first need to equalize the denominators and then add the two numbers.

(i) 3/7 and -6/7

=(3-6)/7

= -3/7

(ii) -2 and -2/7

-2 = -14/7

-2 + (-2/7)

= - 14/7 - 2/7

= - 16/7

(iii) 3/5 and -2

= 3/5 + (-10/5)

= -7/5

(iv) -5/12 and 5/8

-5/12 = -10/24

5/8 = 15/24

now,

-5/12 + 5/8

= -10/24 + 15/24

=(-10 + 15) / 24

= 5/24