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What are the first 5 digits after the decimal point (technically the hexadecimal point...) when the fraction $\frac{2}{7}$ is written in base $16$?

 Jul 26, 2024
 #1
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convert 2/7 to base 16

 

2/7_10 = 2/7_16 (nothing changes)

 

do base division

\(\frac{2}{7}_{16} \approx 0.4924924924924925\)

 

The answer is 49249

 Jul 26, 2024
edited by BRAINBOLT  Jul 26, 2024
edited by BRAINBOLT  Jul 26, 2024

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