The simplification of `3.overline(36)` - `2.overline(05)` + `1.overline(33)` equals : Options: A . &nbsp2.60 B . &nbsp2.64 C . &nbsp`2.overline(61)` D . &nbsp`2.overline(64)`

The simplification of

Question

The simplification of `3.overline(36)` - `2.overline(05)` + `1.overline(33)` equals :

Options:

A . 2.60

B . 2.64

C . `2.overline(61)`

D . `2.overline(64)`

Answer: Option D

`3.overline(36)` - `2overline(05)` + `1.overline(33)` = [( 3 + `0.overline(36)`) + (1 + `0.overline(33)`)] - (2 + `0.overline(05)`)

= `[ 4 + (36/99 +33/99)]` -` [2 +5/99]` = 2 + `(36/99 + 33/99 - 5/99)`

= 2 + `64/99` = `2.overline(64)`

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