Clock mathematics

If it is now 7:38 pm, what time will it be in 30,033,996,480 minutes from now?

Result

t₂ = 7:38 hh:mm

Step-by-step explanation:

$$\begin{gathered} t_1=7{\displaystyle \frac{38}{60}}=7+{\displaystyle \frac{38}{60}}={\displaystyle \frac{7\cdot 60+38}{60}}={\displaystyle \frac{458}{60}}={\displaystyle \frac{229}{30}}\doteq 7.6333 \\ a=30033996480\text{ min } \\ d=24\text{ h}\to \text{ min}=24\cdot 60\text{ min}=1440\text{ min } \\ n=a\mathrm{/}d=30033996480\mathrm{/}1440=20856942\text{ d } \\ r=a-\lfloor n\cdot d\rfloor =30033996480-\lfloor 20856942\cdot 1440\rfloor =0\text{ min } \\ {t}_2=t_1+r\mathrm{/}60=7.6333+0\mathrm{/}60=7.63333=7:38\text{ hh}:\text{mm} \end{gathered}$$

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Showing 1 comment:

Aumum

for example 1/8 / 1/8

9 months ago  2 Likes Like

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