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Step-by-step explanation:
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Step-by-step explanation:
a-(b-c) not equal to (a-b)-c
(1) a-(b-c)=2/3-((-5/6)-(-1/2))
2/3-(1/2-5/6)
2/3-((3-5)/6)
2/3+2/6=4+2/6=6/6=1
and
(a-b)-c=(2/3-(-5/6))-(-1/2)
(2/3+5/6)+1/2=(4+5)/6+1/2
=9/6+1/2=12/6=2
so a-(b-c) not equal to (a-b)-c=>1 not equal to 2
(2) a-(b-c)=-1/2-(3/4-(-7/8))
=-1/2-(6+7)/8=-1/2-13/8
=-4-13/8=-17/8
(a-b)-c=(-1/2-(3/4))-(-7/8)
(-1/2-3/4)+7/8
(-2-3)/4+7/8
=(-10+7)/8=-3/8
so a-(b-c) not equal to (a-b)-c=>-17/8 not equal to -3/8
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