Using suitable rearrangement find the sum
(a)4/7 +(-4/9) +3/7 +(-13/9)
(b) -5 + 7/10 +( 3/7 ) + (-3) + 5/14 + (-4/15)
khush110:
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a)4/7+(-4/9)+3/7+(-13/9)
=4/7+3/7-4/9-13/9
=(4+3)/7 -(4+13)/9
=7/7-17/9
=1-17/9
=(9-17)/9
=-8/9
b)-5+7/10+3/7+(-3)+5/14+(-4/15)
=-5-3+7/10-4/15+3/7+5/14
=-7+(21-8)/30+(6+5)/14
=-7+13/30+11/14
=(-7*210+13*7+11*15)/210
=(-1470+91+165)/210
=(-1470+256)/210
=-1214/210
=4/7+3/7-4/9-13/9
=(4+3)/7 -(4+13)/9
=7/7-17/9
=1-17/9
=(9-17)/9
=-8/9
b)-5+7/10+3/7+(-3)+5/14+(-4/15)
=-5-3+7/10-4/15+3/7+5/14
=-7+(21-8)/30+(6+5)/14
=-7+13/30+11/14
=(-7*210+13*7+11*15)/210
=(-1470+91+165)/210
=(-1470+256)/210
=-1214/210
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