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Question

Mathematics Question on Need For Rational Numbers

Find the sum:
(i) 54\frac{5}{4}+(-114\frac{11}{4})
(ii) 53\frac{5}{3}+35\frac{3}{5}
(iii) -910\frac{9}{10}+2215\frac{22}{15}
(iv) 311\frac{-3}{-11}+59\frac{5}{9}
(v)819-\frac{8}{19}+(2)57\frac{(-2)}{57}
(vi) 23-\frac{2}{3}+0
(vii) 213-\frac{21}{3}+435\frac{43}{5}

Answer

(i) 54\frac{5}{4}+(114-\frac{11}{4})
= 5-114\frac{11}{4}
= -64\frac{6}{4}
= -32\frac{3}{2}


(ii) 53\frac{5}{3}+35\frac{3}{5}
= L.C.M of 3 and 5 is 15
53\frac{5}{3}+35\frac{3}{5}= 2515\frac{25}{15}+915\frac{9}{15}= 25+915\frac{25+9}{15}=3415\frac{34}{15}