verify that (-2/5+4/9)+(-3/4)=-2/5+{4/9+(-3/4)}
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LHS = (-2/5 +4/9) + (-3/4)
={(-2)×9 + 4×5}/45 + (-3/4)
={-18+20}/45 + (-3/4)
=2/45 + (-3/4)
=2/45 -3/4
=(2×4-3×45)/180
=(8-135)/180
=(-127)/180
RHS =-2/5 + { 4/9 + (-3/4)}
= -2/5 + 4/9 -3/4
=-(2/5 +3/4) +4/9
= -{2×4+5×3}/20 + 4/9
= -(8+15)/20 + 4/9
= -23/20 + 4/9
=4/9 -23/20
=(4×20-23×9)/180
=(80-207)/180
=(-127)/180
we see LHS = RHS
so, varified that this is correct .
={(-2)×9 + 4×5}/45 + (-3/4)
={-18+20}/45 + (-3/4)
=2/45 + (-3/4)
=2/45 -3/4
=(2×4-3×45)/180
=(8-135)/180
=(-127)/180
RHS =-2/5 + { 4/9 + (-3/4)}
= -2/5 + 4/9 -3/4
=-(2/5 +3/4) +4/9
= -{2×4+5×3}/20 + 4/9
= -(8+15)/20 + 4/9
= -23/20 + 4/9
=4/9 -23/20
=(4×20-23×9)/180
=(80-207)/180
=(-127)/180
we see LHS = RHS
so, varified that this is correct .
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