Question

Add the following rational numbers:

(i) \(\frac{-5}{7}\; and\; \frac{3}{7}\)

(ii) \(\frac{-15}{4} \;and\;\frac{7}{4}\)

(iii) \(\frac{-8}{11}\;and\;\frac{-4}{11}\)

(iv) \(\frac{6}{13}\;and\;\frac{-9}{13}\)

Answer 1

All denominators are in positive numbers. We add it

i) \(\frac{-5}{7} +\frac{3}{7}=\frac{(-5 + 3)}{7}=\frac{2}{7}\)  

ii) \(\frac{-15}{4} + \frac{7}{4}=\frac{(-15+7)}{4}=\frac{-8}{4}\)

\(\frac{-8}{4}=-2\) (Dividing by 4 we get)

iii) \(\frac{-8}{11}+\frac{-4}{11}= \frac{-8+(-4)}{11}=\frac{-12}{11}\)

iv) \(\frac{6}{13} +\frac{-9}{13}= \frac{6+(-9)}{13}=\frac{-3}{13}\)