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Presuming 1.2222222 is intended to be 1.2repeating:

1.2222222...=11/9

Presuming 1.77777 is intended to be 1.77777repeating:

1.77777...=16/9

How did we do this?

Both work by the same principle, so I'll show how to solve one and you should then be able to solve the other.

Let x=1.77777...,

then 10x=17.7777.... .

Then,

10x - x = 17.7777... - 1.77777...,

continuing using algebra:

9x = 17 - 1,

9x = 16

x = 16/9.

Eddie O.

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12y ago
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Q: What fractions are equivalent to 1.2222222 and 1.77777?
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