Express 2.36 (36 is reccuring) +0.23 (23 is reccuring) as a fraction in the simplest form.

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Solution

bar indicates reoccurance of .36

2.36 bar = 2.3636

100x = 236.3636

100x-x = 234

99x = 234

x = 234/99 = 78/33 = 26/11

0.23 bar = 0.2323

100x = 23.2323

100x-x = 23

99x = 23

x = 23/99

26/11+23/99 = 234+23/99 = 257/99

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