a fraction bears the same ratio to 1/27 as 3/7 does to 5/9 the fraction is
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The required fraction is 1/35.
Step-by-step explanation:
Let the required fraction is given by x
By the given condition,
x : 1/27 = 3/7 : 5/9
or, x / (1/27) = (3/7) / (5/9)
or, x * 27/1 = 3/7 * 9/5
or, x * 27/1 = 27/35
or, x = 27/35 * 1/27
or, x = 1/35
Therefore the required fraction is 1/35.
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