(i) We have,

\(\frac{-3}{2}+\frac{5}{4}-\frac{7}{4}\) = \(\frac{-3\times 2+5\times 1-7\times 1}{4}\) (L.C.M of 2, 4 and 4 is 4)

= \(\frac{-6+5-7}{4}\)

= \(\frac{-13+5}{4}\)

= \(\frac{-8}{4}\)

= -2

(ii) We have,

 \(\frac{5}{3}-\frac{7}{6}+\frac{2}{3}\) = \(\frac{5\times 2-7\times 1-2\times 2}{6}\) (L.C.M of 3, 6 and 3 is 6)

 = \(\frac{10-7-4}{6}\)

= \(\frac{-1}{6}\)

(iii) We have,

 \(\frac{5}{4}-\frac{7}{6}+\frac{2}{3}\) = \(\frac{5\times 6-7\times 4+2\times 8}{24}\) (L.C.M of 4, 6 and 3 is 24)

 = \(\frac{30-28+16}{24}\)

= \(\frac{2+16}{24}\)

= \(\frac{18}{24}\)

 = \(\frac{3}{4}\)

(iv) We have,

 \(\frac{-2}{5}+\frac{3}{10}+\frac{4}{7}\) = \(\frac{-2\times 14+3\times 7+4\times 10}{70}\) (L.C.M of 5, 10 and 7 is 70)

  = \(\frac{-28+21+40}{70}\)

= \(\frac{-28+61}{70}\)

= \(\frac{33}{70}\)

(v) We have,

 \(\frac{5}{6}-\frac{2}{5}+\frac{2}{15}\) = \(\frac{5\times 5-2\times 6+2\times 2}{30}\) (L.C.M of 6, 5 and 15 is 30)

 = \(\frac{25-12+4}{30}\)

= \(\frac{13+4}{30}\)

 = \(\frac{17}{30}\)

 (vi) We have,

 \(\frac{3}{8}+\frac{2}{9}-\frac{5}{36}\) = \(\frac{3\times 9+2\times 8-5\times 2}{72}\) (L.C.M of 8, 9 and 36 is 72)

 = \(\frac{27+16-10}{72}\)

= \(\frac{43-10}{72}\)

= \(\frac{33}{72}\)

 = \(\frac{11}{24}\)