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Write 0.614 (4repeating) as a fraction in simplest form.
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20 votes
Write 0.614 (4repeating)
as a fraction in simplest form.

User Mister Magoo
by
4.9k points

1 Answer

5 votes

Answer:

553/900

Explanation:

x = 0.6144444........

Multiply both sides by 1000

1000x = 614.444.....

Multiply both sides by 100

100x = 61.444.....

Now subtract,

1000x = 614.444....

100x = 61.444.....

900x = 553

x = 553/900

User Corne Beukes
by
4.8k points
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