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Step-by-step explanation:
(a) rational numbers are closed under addition.
Because, (3/8) + (-5/7) Take the LCM of the denominators of the given rational numbers.
LCM of 8 and 7 is 56 Express each of the given rational numbers with the above LCM as the common denominator.
Now, (3/8)= [(3×7)/ (8×7)] = (21/56) (-5/7)= [(-5×8)/ (7×8)] = (-40/56)
Then, = (21/56) + (-40/56) …
[∵ denominator is same in both the rational numbers] = (21 – 40)/56 =
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