Question

Find the sum:
(i) \(\frac{5}{4}\)+(-\(\frac{11}{4}\))
(ii) \(\frac{5}{3}\)+\(\frac{3}{5}\)
(iii) -\(\frac{9}{10}\)+\(\frac{22}{15}\)
(iv) \(\frac{-3}{-11}\)+\(\frac{5}{9}\)
(v)\(-\frac{8}{19}\)+\(\frac{(-2)}{57}\)
(vi) \(-\frac{2}{3}\)+0
(vii) \(-\frac{21}{3}\)+\(\frac{43}{5}\)

Answer 1

(i) \(\frac{5}{4}\)+(\(-\frac{11}{4}\))
= 5-\(\frac{11}{4}\)
= -\(\frac{6}{4}\)
= -\(\frac{3}{2}\)

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(ii) \(\frac{5}{3}\)+\(\frac{3}{5}\)
= L.C.M of 3 and 5 is 15
\(\frac{5}{3}\)+\(\frac{3}{5}\)= \(\frac{25}{15}\)+\(\frac{9}{15}\)= \(\frac{25+9}{15}\)=\(\frac{34}{15}\)