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Change 44/125 to a base 5 decimal.

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thi-dallas | Student, Undergraduate | (Level 1) Valedictorian

Posted May 1, 2013 at 5:13 PM via web

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Change 44/125 to a base 5 decimal.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 1, 2013 at 5:34 PM (Answer #1)

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The fraction `44/125` has to be converted to a decimal in base 5

`44/125`

= `40/125 + 4/125`

= `25/125 + 15/125 + 4/125`

= `1/5 + 3/25 + 4/125`

= `0.134_5`

This gives `44/125 = 0.134_5`

As a decimal in base 5, `44/125 = 0.134_5`

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