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# What is 1/288 in base 12?

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What is 1/288 in base 12? A walk through the problem is greatly appreciated

Mar 9, 2019

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$$288_{10} = 2\cdot 144 = 2\cdot 12^2 \Rightarrow 200_{12}\\ {\dfrac{1}{288}}_{10} = {\dfrac{1}{200}}_{12}\\ \text{Did you want the duodecimal representation?}\\ \dfrac{\frac{1}{288}}{\frac{1}{12^3}} = 6\\ \dfrac{1}{288}_{10} = 0.006_{12}$$

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Mar 9, 2019

#1
+6046
+2

$$288_{10} = 2\cdot 144 = 2\cdot 12^2 \Rightarrow 200_{12}\\ {\dfrac{1}{288}}_{10} = {\dfrac{1}{200}}_{12}\\ \text{Did you want the duodecimal representation?}\\ \dfrac{\frac{1}{288}}{\frac{1}{12^3}} = 6\\ \dfrac{1}{288}_{10} = 0.006_{12}$$

Rom Mar 9, 2019
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Thank You!