Add the following rational numbers-i -57 and 37ii -154 and 74iii -811 and -411iv 613 and -913

Add the following rational numbers:
(i) $\frac{3}{4}$ and $\frac{- 3}{5}$
(ii) $\frac{5}{8}$ and $\frac{- 7}{12}$
(iii) $\frac{- 8}{9}$ and $\frac{11}{6}$
(iv) $\frac{- 5}{16}$ and $\frac{7}{24}$
(v) $\frac{7}{- 18}$ and $\frac{8}{27}$
(vi) $\frac{1}{- 12}$ and $\frac{2}{- 15}$
(vii) $- 1$ and $\frac{3}{4}$
(viii) $2$ and $\frac{- 5}{4}$
(ix) $0$ and $\frac{- 2}{5}$

Q. Choose the correct alternative in the following question:

Let P (A) = \frac{7}{13}, P (B) = \frac{9}{13} and P (A \cap B) = \frac{4}{13} . Then, P (A | B) = (a) \frac{5}{9} (b) \frac{4}{9} (c) \frac{4}{13} (d) \frac{6}{13}

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Add the following rational numbers: (i) -57 and 37 (ii) -154 and 74 (iii) -811 and -411 (iv) 613 and -913

(i)-57+37 = -5+37 = -27(ii) -154+74 = -15+74 = -84 = -2(iii) -811+-411 = -8-411 = -1211(iv) 613+-913 = 6-913 = -313

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) $\frac{6}{13} and \frac{- 9}{13}$

$(i) \frac{- 5}{7} + \frac{3}{7} = \frac{- 5 + 3}{7} = \frac{- 2}{7} (ii) \frac{- 15}{4} + \frac{7}{4} = \frac{- 15 + 7}{4} = \frac{- 8}{4} = - 2 (iii) \frac{- 8}{11} + \frac{- 4}{11} = \frac{- 8 - 4}{11} = \frac{- 12}{11} (iv) \frac{6}{13} + \frac{- 9}{13} = \frac{6 - 9}{13} = \frac{- 3}{13}$