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Question

Simplify:
(i) -32+54-74

(ii) 53-76+-23

(iii) 54-76--23

(iv) -25--310--47

(v) 56+-25--215

(vi) 38--29+-536

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Solution

(i) -32+54-74Taking the L.C.M.of the denominators:-64+54-74=-6+5-74=-84=- 2(ii) 53-76+-23Taking the L.C.M.of the denominators:106-76+-46=10-7+(-4)6=10-7-46=-16(iii) 54-76--23Taking the L.C.M.of the denominators:1512-1412--812=15-14-(-8)12=15-14+812=912=34(iv) -25--310--47Taking the L.C.M.of the denominators:-2870--2170--4070=(-28)-(-21)-(-40)70=-28+21+4070=3370(v) 56+-25--215Taking the L.C.M.of the denominators:2530+-1230--430=25+(-12)-(-4)30=25-12+430=1730(vi) 38--29+-536Taking the L.C.M.of the denominators:2772--1672+-1072=27-(-16)+(-10)72=27+16-1072=3372=1124

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