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# Express $4.\overline{054}$ as a common fraction in lowest terms.

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Express $4.\overline{054}$ as a common fraction in lowest terms.

Aug 31, 2020

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If we expand it out, we get 4.054054054.....

Setting this equal to x, we have:

1000x = 4054.054054054...

x = 4.054054054...

Subtracting the equations, we get:

999x = 4050

x = 4050/999

x = 450/111

x = 150/37

Jan 14, 2021