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a) A rational number is any number that can be written as a fraction.
Let's change 1/3 and 1/5 to fractions with the common denominator of 15.
We now have 5/15 and 3/15.
We only see one rational number between these two: 4/15.
Let's change the denominator to 30.
We now have 10/30 and 6/30.
Two rational numbers in this interval are 7/30 and 8/30.
8/30 is the same as 4/15.
Two rational numbers between 1/3 and 1/5 are 4/15 and 7/30.
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