convert from one time scale to another

Question

i would like to exactly to convert given scale of time into years and month,suppose we have time $T = 2.35$ years clearly it is more then $2$ year,but what about $0.35$?in which scale it is given? In generally if it is related to year,then we should multiply it by one year or $12$ months to get in term of month what fraction it represent, but could not it given in days?then what is possible scale for it? I need such kind of terms because maybe in GRE exam there could be such kind of transformation necessary,so please help me.

Answer 1

Does this help?

$$ \begin{align} 2.35 \;\text{years} &= 2 \;\text{years} + 0.35 \;\text{years}\\ &= 2 \;\text{years} + 0.35 \frac{12 \;\text{months}}{1 \;\text{year}}\;\text{years}\\ &= 2 \;\text{years} + 4.2 \;\text{months}\\ &= 2 \;\text{years} + 4 \;\text{months} + 0.2 \frac{30 \;\text{days}}{1 \;\text{month}} \;\text{months}\\ &= 2 \;\text{years} + 4 \;\text{months} + 6 \;\text{days} \end{align} $$

Generally, when you write something like 22.35 years, the whole number is given in terms of the specified unit. In other words, the 0.35 is also measuring the amount in terms of years (I think that was part of your question.)

I can see why this might be confusing, though. We write time as hours:minutes, rather than hours:fraction-of-hours.

If you're ever in doubt about something like this on an exam, you can usually ask a prof. In any case, as long as you are very clear about what you're doing in your answer, and you provide steps that the markers can easily follow, you should be fine.