Solveeit Logo

Question

Mathematics Question on Need For Rational Numbers

Find :
(i)724\frac{7}{24}-1736\frac{17}{36}
(ii) 563\frac{5}{63}-(621-\frac{6}{21})
(iii) -613\frac{6}{13}-(-715\frac{7}{15})
(iv) -38\frac{3}{8}-711\frac{7}{11}
(v)219-\frac{21}{9}-6

Answer

(i) 724\frac{7}{24}-1736\frac{17}{36}
L.C.M of 24 and 36 is 72.
724\frac{7}{24}-1736\frac{17}{36} = 7×324×317×236×2\frac{7\times3}{24\times3}-\frac{17\times2}{36\times2} = 2172\frac{21}{72}= -1372\frac{13}{72}


(ii) 563\frac{5}{63}-(621-\frac{6}{21})
= 563+27\frac{5}{63}+\frac{2}{7}
= L.C.M of 63 and 7 is 63.
563+27\frac{5}{63}+\frac{2}{7}= 563+1863\frac{5}{63}+\frac{18}{63} =5+1863\frac{5+18}{63} = 2363\frac{23}{63}