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welcome to math with Mr Jay
[Music]
in this video I'm going to cover the
basics of rates and unit rates I'll
cover what rates and unit rates are and
then how to find unit rates now rates
compare and show the relationship
between quantities with different units
so rates are just ratios that compare
and show the relationship between
quantities with different units a unit
rate is a specific type of rate a unit
rate is a rate with a denominator of one
it shows per one unit let's jump into
our examples and see exactly what this
means starting with number one where we
have 36 miles in four days for example
let's say that someone rode their bike
36 miles in four days this rate Compares
and shows the relationship between the
number of miles ridden and the days that
it took to do so so two different units
of measure miles and days we can write
this rate as a fraction now order
matters we have miles and then days so
our fraction needs to represent that
order 36 miles
and
four days
make sure to label and include units
within rates since we are working with
different units we need to be clear what
those units are so this is a rate 36
miles in four days now let's find the
unit rate unit rates always have a
denominator of one we want per one unit
in this case we want how many miles per
one day let's do this by dividing our
denominator by four that will give us a
denominator of one representing one day
so 36 miles in four days is going to
equal well again we need to divide by 4
in order to get that denominator of one
four divided by four is one
and we need to label so this is one day
whatever we do to the bottom we must do
to the top so divide 36 by 4 as well 36
divided by 4 is 9.
and this is Miles
and that's our unit rate 9 miles per one
day or nine miles per day
now we can also write this as
nine miles
per
day
so our original rate was 36 miles in
four days and then we found our unit
rate we did that by getting our
denominator to equal one we did that by
dividing by four that gave us 9 miles
per day let's move on to number two
where we have ninety six dollars in
eight hours so someone makes ninety six
dollars in eight hours we will write
that as a rate in fractional form and
then find the unit rate so let's first
write that as a rate in fractional form
so we have ninety six dollars
in eight hours
so that's our rate let's find our unit
rate so how much money per one hour we
can do this by dividing by eight because
again we need that denominator to equal
one so let's divide by eight here to
give us one hour
whatever we do to the bottom we must do
to the top so 96 divided by 8 as well
that gives us
twelve dollars
so our unit rate is twelve dollars per
one hour or twelve dollars per hour and
we can also write that as twelve dollars
per
hour
so there you have it there's how you
write rates and unit rates rates are
ratios that compare two quantities with
different units and then a unit rate is
a specific type of rate it's a rate with
a denominator of one we show per one
unit I hope that helped thanks so much
for watching
until next time
peace
