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kifflom [539]
3 years ago
8

What is .8 repeating as a fraction

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

I think you're describing the number 0.888... where the 8s will keep
going forever and never end.

Now, I've been around a long time, and worked a lot of math, but
I never knew how to make a fraction out of repeating decimal until
just a short time ago.  That's exactly what we need here.  Here's
the trick:

-- You have a decimal, with a set of digits ... 1 or 2 or 3 or however many ...
that repeat.

-- Take one complete set of the digits that repeat.  Write them
on top of a fraction.

--  On the bottom of the fraction, write the same number of nines
as however many digits are on top.

--  THERE's your fraction that's equivalent to the repeating decimal !
You can go ahead and simplify it if it's possible and you feel like it. 

In this problem, the repeating part is only one digit ... the 8 .

Write 8 on top of the fraction.  Then write a single 9 on the bottom.

There's your equivalent fraction.
0.888...repeating is equal to  8/9 .

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