Question

8 Express the recurring decimal below as a fraction in simplest form.
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0.23​

Answer 1

Answer:

0.2323232323 = x

100x = 23.2323232323

100x = 23 + 0.2323232323

100x = 23 + x

100x - x = 23

99x = 23

x = 23 / 99

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Answer 2

Answer:

Step-by-step explanation:

Lets take 0.23... as x

x = 0.2323...

As two digits are recurring, we take 100x

100x = 23.2323..

Now let us take 99x

100x - x = 99x

23.2323.... - 0.2323... = 23

x = 23/99

x = 0.23...

0.23... = 23/99