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Find a common fraction for the recurring decimal 0.7777?

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Anonymous

∙ 15y ago
Updated: 4/28/2022
Way 1Let, x be 0.7777.........

Now, 10x=7.777777.......

=> 10x=7+0.777......

=> 10x=7+x

=> 9x=7

=>x=7/9

Way 2x = 0.7777...

10x = 7.7777...

-1x = -.7777...

9x = 7.0 = 7

9x = 7

÷ 9 ÷9

7

- = 0.7777...

9

Either, way, the answer is 0.7777... is equal to 7/9.

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∙ 15y ago
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