find three rational numbers between 1/3 and 1/5
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Answer: 7/15, 10/15, 13/15
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The two fractions are 1/3 and 1/5.
First of all, we have to make the denominators equal in both fractions.
So, 1/3 = 1/3 × 5/5 = 5/15
and 1/5 = 1/5 × 3/3 = 3/15
But as we can see that there is only one fraction between 3/6 and 2/6, we have to get the two fractions in such a way that there are three fractions between them.
So, 5/15 = 5/15 × 2/2 = 10/30
and 3/15 = 3/15 × 2/2 = 6/30
Hence, the fractions are 7/30, 8/30 and 9/30.
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