Question

Add the following rational numbers:

(i) -5/7 and 3/7
(ii) -15/4 and 7/4
(iii) -8/11 and -4/11
(iv) 6/13 and -9/13​

Answer 1

When adding rational numbers, a common denominator is needed. Adding -5/7 and 3/7 gives -2/7, -15/4 and 7/4 gives -2, -8/11 and -4/11 gives -12/11, and 6/13 and -9/13 gives -3/13.

Step-by-step explanation:

When adding rational numbers, we need to have a common denominator. In the given examples:

1. The common denominator for -5/7 and 3/7 is 7. So, -5/7 + 3/7 = -2/7.
2. The common denominator for -15/4 and 7/4 is 4. So, -15/4 + 7/4 = -8/4 = -2.
3. The common denominator for -8/11 and -4/11 is 11. So, -8/11 + -4/11 = -12/11.
4. The common denominator for 6/13 and -9/13 is 13. So, 6/13 + -9/13 = -3/13.