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Q: What is 3 hrs and 15 mins into decimals?
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How do you multiply minutes and seconds by a number eg 3min 45secs x 3?

I can do it in many ways:Multiply the minutes and seconds separately, then correct for 60 secs = 1 min3 mins 45 secs x 3 = 9 mins 135 secs but 60 secs = 1 min, so 135 secs = 2 mins 15 secsSo 9 mins 135 secs = 9 mins 2 mins 15 secs = 11 mins 15 secs.⇒ 3 mins 45 secs x 3 = 11 mins 15 secsWork in seconds and convert back at the end3 mins 45 secs x 3 = 225 secs x 3 = 675 secs= 11 mins 15 secsConvert the seconds to a decimal of a minute, work it out and convert back at the end3 mins 45 secs x 3 = 3.75 mins x 3 = 11.25 mins= 11 mins 15 secsI am actually more likely to work with fractions as opposed to decimals as decimals can lead to inaccuracies3 mins 45 secs x 3 = 33/4 mins x 3 = 15/4 mins x 3= 45/4 mins= 111/4 mins= 11 mins 15 secsWork with the mins and seconds directly using sexagesimal (base 60) numbersTo avoid having to invent 50 new symbols for the numbers 10-59, I use the decimal numbers, but separate the sexagesimal "digits" by colons - like a digital clock. 3 mins 45 secs x 3 = 3:45 x 345 x 3 = 15 carry 23 x 3 + carry = 9 + 2 = 11⇒ 3:45 x 3 = 11:15⇒ 3 mins 45 secs x 3 = 11 mins 15 secs.


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