Question:
Using the rearrangement property how can we find the sum of 4/3+3/5+-2/3-11/5
Answer:
Given, 4/3 + 3/5 + -2/3 - 11/5
= 4/3 + -2/3 + 3/5 - 11/5
= (4/3 + -2/3) + (3/5 - 11/5)
= (4/3 - 2/3) + (3/5 - 11/5)
= (4 - 2)/3 + (3 - 11)/5
= 2/3 + (-8/5)
= 2/3 - 8/5
= (2*5 - 8*3)/15
= (10 - 24)/15
= -14/15
So, 4/3 + 3/5 + -2/3 - 11/5 = -14/15
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