How do you find 0.878787..... as a fraction in simplest form?

x = 0.878787

100x = 87.878787... {multiplied equation by 100 to move decimal right 2 places}

100x = 87.878787.....

x = 0.878787....

---------------------------

99x = 87 {subtracted the two equations}

x =

100x = 87.878787... {multiplied equation by 100 to move decimal right 2 places}

100x = 87.878787.....

x = 0.878787....

---------------------------

99x = 87 {subtracted the two equations}

x =

**87/99**{divided each side by 99}

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