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Question

The following pattern of fractions is shown below.

1/2, 3/5, 8/13, 21/34, …

What is the 10th fraction in this pattern?

Answer

1/2, 3/5, 8/13,21/34, 55/89,

144/233, 377/610,

987/1597,2584/4181,

6765/10946 

The tenth term is 6765/10946.

This sequence is made uo of fiboncci number with the following number is the sum of previous 2 numbers. 

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