Question 167301
unit multipliers always have the same measure on opposite sides of the dividing line.
example:
60 seconds = 1 minute is the equation you start with to create the unit multiplier as required.
if you have x per second, you would multiply by 60 seconds per minute.
in equation form, this works out to be:
{{{x/s = 60s/m}}}
as you can see the seconds are on opposite sides of the dividing line.
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in your problem you have:
44 feet per seconds = how many miles per hour.
equations you need are:
1 minutes = 60 seconds
1 hour = 60 minutes
1 mile = 5280 feet
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if we work this out piece by piece, we get the following:
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first we convert from feet per second to feet per minute.
{{{(44 feet / 1 second) * (60 seconds / 1 minute) = (2640 feet / 1 minute)}}}
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next we convert from feet per minute to feet per hour.
{{{(2640 feet / 1 minute) * (60 minutes / 1 hour) = (158400 feet / 1 hour)  }}}
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next we want to convert from feet to miles.
{{{(158400 feet / 1 hour) * (1 mile / 5280 feet) = (30 miles / 1 hour) }}}
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the common measure is always on opposite sides of the dividing line.
{{{(30 miles / 1 hour) }}} means the same thing as 30 miles per hour.
you create the fraction that way.
44 feet per second = {{{44 feet / 1 second}}} etc.
always start with the equality, like 1 minute = 60 seconds, and then decide which unit multiplier you want to create from that.
hope this helps.
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