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To compare these fractions, you have to express them using a common denominator.
The LCM of 5 and 7 is 35.
So rewrite them with denominators of 35.
1/5 = (1/5)(7/7) = 7/35
2/7 = (2/7)(5/5) = 10/35
7 is less than 10.
so 7/35 < 10/35
Therefore 1/5 < 2/7
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