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3 years ago

9

What is 2.161616 as a fraction?

1 answer:

Komok [63]3 years ago

8 0

repeating fraction, nice

2.16161616...=2+0.16161616...
solve the repeating part
let's say x=0.16161616
2 places repeat, multiply x by 10^2 or 100
100x=16.161616

now subtract x from taht
100x-x=16.161616-0.16161616
the repeats cancel and we get
99x=16
divide both sides b 99
x=16/99

so
16/99=0.16161616...

2+16/99 is the fraction
if ya wanted 1 fraction then
2+16/99=
198/99+16/99=
214/99

2.161616=214/99

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