Let 'x' be 0.47(bar on 7).

Since the number of repeating decimal is 1,we should multiply x and it's value with 10.

10*x=10*0.47(bar on 7).
10x=4.77(bar on 7).

Now, we should subtract x and it's value from 10x and it's value.

10x-x=4.77(bar on 7)-0.47(bar on 7).
9x=4.3(bar gets cancelled).
x=4.3/9.

This still needs to be multiplied with 10 in order to make p also an integer.

43/90 is the p/q form of 0.47(bar on 7) where p and q are integers and q is mot equal to 0.

0Thank You

ANSWER

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