It means that 6 is a recurring decimal such as 0.16666...recurring 6
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Either, the decimal with a line over what's repeating (eg. 0.6 with a line over it), or decimal repeating (eg. "point six repeating").
Six.
the reciprocal of seven over six is six over seven because a reciprocal is a normal fraction flipped.
One over six plus one over six is 2/6. That fraction can be reduced to 1/3. Two over three is written as 2/3. 2/3 plus 1/3 is equal to 1, or a whole.
Ten over six in simplest form is: 5/3 or 12/3