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Express 3.31‾3.\overline{31}3.31​ in the form pq\frac{p}{q}qp​​ where p and q are integers and q≠0
Question

Express 3.313.\overline{31}​ in the form pq\frac{p}{q}​ where p and q are integers and q0

A.

32999\frac{329}{99}​​

B.

10933\frac{109}{33}​​

C.

103\frac{10}{3}​​

D.

32899\frac{328}{99}​​

Correct option is D

Given:

3.313.\overline{31}​​

Solution:

Let x = 3.313131..

100x = 331.3131

100x - x = 331 - 3

99x = 328

x = 32899\frac{328}{99}​​

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