Unit Rates with Decimals | Math with Mr. J

[Music] welcome to math with Mr J in this video I'm going to cover unit rates with decimals now remember rates compare and show the relationship between quantities with different units a unit rate is very similar to that but it's more specific a unit rate is a rate with a denominator of one a unit rate shows per one unit let's jump into number one where we have 37.8 mil in 3.5 hours this rate Compares and shows the relationship between the number of miles traveled and then the number of hours it took to do so two different units miles and then hours we can write this rate as a fraction and that's the first thing that we are going to do in order to get our unit rate now order matters we have miles and then hours we want miles per hour so our fraction needs to represent that order so let's start with Miles 37 and 8/10 or 37.8 miles in 3 and 510 or 3.5 hours make sure to label and include units within rates and and unit rates since we are working with different units 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 hour let's do this by dividing our denominator by 3.5 so this is going to equal divide by 3.5 here that will give us a denominator of 1 representing 1 hour now just like equivalent fractions whatever we do to the bottom or denominator we must do to the top the numerator or vice versa in order to keep everything equivalent and proportional so let's divide the top number by 3.5 as well and that's going to give us our unit rate so again 3 .5 / 3.5 that gives us our denominator of 1 and that's going to be 1 hour and then 37.8 / 3.5 that gives us 10.8 miles and that's our unit rate 10.8 miles per 1 hour or 10.8 M hour and we can also write this as 10.8 miles per hour so this is our unit rate in fractional form and then we can also write it like this let's move on to number two where we have $27.75 spent in 7 days we need to figure out the number of dollars spent per day let's write this rate in fractional form and again order matters we need dollars per day so dollars and then days so we start with $127 and 75 and this is in 7 days so now we need that unit rate we need that denominator of one we get a denominator of one by dividing by 7 7 ID by 7 gives us 1 so this is going to equal divide 7 whatever we do to the bottom we must do to the top in order to keep this equivalent and proportional so let's divide both of these by seven 7 / 7 gives us 1 and that's one day and then $27.75 divided 7 that gives us $18 25 our unit rate is is $18.25 per one day or $18.25 per day so that shows us how much money was spent per day we can also write this as $18 and 25 per day so this is our unit rate in fractional form and then we can also write it like this so there you have it there's how you find unit rates that involve decimals I hope that helped thanks so much for watching until next time peace