Convert 12/25 to base 5 ​

asked Apr 24, 2023 177k views

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Convert 12/25 to base 5

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Expand the given fraction as

$(12)/(25) = (10)/(25) + \frac2{25} = \frac25 + \frac2{5^2}$

Then the base 5 representation of 12/25 is

$(12)/(25) \equiv \boxed{0.22_5}$

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