Express as vulgar fractions : 2.53`overline(6)` Options: A . &nbsp`2 166/300` B . &nbsp`2 169/200` C . &nbsp`2 161/300` D . &nbsp`2 161/450`

Express as vulgar frac

Question

Express as vulgar fractions : 2.53`overline(6)`

Options:

A . `2 166/300`

B . `2 169/200`

C . `2 161/300`

D . `2 161/450`

Answer: Option C

Sol . 2.53`overline(6)`

= `2 + 0.53``overline(6)`

= `2 + (536 - 53)/(900)`

= `2 + 483/900`

= `2 + 161/300`

= `2 161/300`

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