Express as a common fraction the reciprocal of $0.\overline7$.
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+128474 0.7......
First....find the fractional representation of this.....
Take the repeating part = 7
This is the numerator of our fraction
For the denominator, write the number of 9's equal to the number of digits in the repeating part = one 9
So.... 0.7....... = 7/9
The reciprocal = 9/7
