1. What should be added to 2 2 + + 2 2 to obtain 3 2 + 5 ?
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Answer:
For example
What should be added to (-1/3+2/5) to obtain 3/4?
41/60
i.e 3/4-(-1/3+2/5) = 41/60
….
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Let the number to be added be X
Then, (-1/3+2/5) + X = 3/4
or, X = 3/4 -(-1/3+2/5)
or,X = 3/4 - {( -5 + 6)/15}
or,X = 3/4 - 1/15
or,X = {(45–4)/60}
or, X = 41/60 Ans.
Thus, 41/60 should be added to (-1/3 + 2/5) to get 3/4.
Proof-
Let us add 41/60 to (-1/3+2/5) and check whether it equals 3/4 or not??
-1/3 + 2/5 + 41/60
= {(-20 + 24 + 41)/60}
={(45)/60} ( simplify it)
=3/4
Hence, proved.
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