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To do this, you need to find the lowest commen denominator of 1/3 and 1/5. The lowest common multiple of the two denominators, 3 and 5 is 15, so you convert each fraction to a fraction with a denominator of fifteen and then add the numerators:
(1/3) + (1/5)
=(5/15) + (3/15)
=(5+3)/15
=8/15
Therefore your answer is eight fifteenths.
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