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**DivideBy0** *For about 10 years after the French Revolution, the French government attempted to base measures of time on multiple of ten: One week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. What are the ratios of (a) the French decimal week to the standard week and (b) the French decimal second to the standard second?*

(a) $\displaystyle 1 \mbox{ French Week} = 1 \mbox{ French Week} \left(\frac{10 \mbox{ days}}{1 \mbox{ French Week}}\right)\left(\frac{10 \mbox{ hrs}}{1 \mbox{ day}}\right)$$\displaystyle \left(\frac{100 \mbox{ min}}{1 \mbox{ hr}}\right)\left(\frac{100 \mbox{ s}}{1 \mbox{ min}}\right)$

$\displaystyle =10^6 \mbox{ seconds}$

$\displaystyle 1 \mbox{ Normal Week} = 1 \mbox{ Normal Week} \left(\frac{7 \mbox{ days}}{1 \mbox{ Normal Week}}\right)\left(\frac{24 \mbox{ hrs}}{1 \mbox{ day}}\right)$$\displaystyle \left(\frac{60 \mbox{ min}}{1 \mbox{ hr}}\right)\left(\frac{60 \mbox{ s}}{1 \mbox{ min}}\right)$

$\displaystyle =604800 \mbox{ seconds}$

So the ratio is 1.65, but the answers say that it is 1.43 ?

Also, in the first question I assumed that the 'French' second was the same as the 'normal' second, so wouldn't my answer to the second question make the answer to my first question invalid? Thanks.