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How do you convert the 0.789898989 recurring into a fraction simplest form with steps and no calculator?

Smileforananswer ∙

Lvl 1

∙ 8y ago

Updated: 9/20/2023

You're trying to get rid of the repeating part by subtracting it.

x = 0.78989

10x = 7.8989

1000x = 789.8989

1000x - 10x = 789.8989 - 7.8989

990x = 782

x = 782/990

Their GCF is 2, so cut them in half.

391/495

Wiki User

∙ 8y ago

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