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welcome to math with Mr Jay

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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