It is: 25/9
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2.777 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its equivalent, in rational form, is 2777/1000. You can simplify this rational fraction if you so wish.
It is not clear what you mean by a repeating whole number!
0.2777 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its rational equivalent is 2777/10000 which cannot be simplified.
5/11
0.6 repeating is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its rational equivalent is 2/3 which cannnot be simplified.