Question

.
0.47222 = 0.472
write in reccuring decimal p form
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q ​

Answer 1

Answer:

Let x=0.4747....

The periodicity of the decimal is 2, therefore, multiply x by 100 as shown below:

100×x=100×0.4747....

⇒100x=47.474747....

Now, we find the value of x in the form of fraction as shown below:

100x−x=(47.474747....)−(0.4747....)

⇒99x=47

⇒x=

99

47

Hence, 0.4747....=

99

47

.