Express 0 47 ( 7 in Bar) in form p/q where p and q are integers and q ≠ 0

Описание: Express 0 47 ( 7 in Bar) in form p/q where p and q are integers and q ≠ 0
Express the following in the form p/q where p and q are integers and q ≠ 0
0.47 (7 is in bar)

Let's denote the repeating decimal as x:
x = 0.477777...

Now, we multiply both sides of the equation by 100 to shift the decimal point:
100x = 47.777...

Next, we subtract x and x value
100x - x = 47.777... - 0.477777...
99x = 47.3
x = 47.3/99

Therefore, the decimal number 0.47 (with the recurring bar over the 7) can be expressed as the fraction 47.3/99.

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