 Working with Conversions Let’s look at a conversion factor. We
have one yard equal to three feet. Because of the equal sign, we know these
two terms are the same. Now let’s try this. Let’s divide each term by one. Now,
since we divide both sides of the equation by the same number, it doesn’t
change the value. Let’s try this. Let’s take one yard, put it over three feet, and
take three feet, and put it over one yard. It’s the same. One yard divided by three
feet equals three feet divided by one yard. They are both equal to one. Let’s look at an example. We have 54 feet
and it converts into how many yards? So, let’s set up our problem. We have 54 feet. We divide that by 1 and then we multiply that by 1 over 1 and by multiplying and
dividing by 1 we are not changing any of the values. All these are the same. What
we are trying to do is I am showing you the setup of how we are going to insert
the conversion factor or the labels by just multiplying or dividing by 1. So
here we go. We insert one yard divided by 3 feet and we have the yard on top
because that is what we are converting to. Again we are inserting one label
to cancel another label out. So the feet cancel out. Right here, we remove the feet. So now, we have 54 over one, times 1 yard over 3. Now we are just going to multiply
straight across. 54 times one is 54. One times 3 equals three. Now we have 54 divided by 3, which gives us 18 yards. So, 54 feet equals 18 yards. Now we are going to be converting yards
to feet. Let’s look at a conversion factor. Here we have one yard over three
feet equals three feet over one yard. We are going to be using the conversion
ratio that has three feet over one yard because we are converting to feet.
Let’s look at an example. We have nine yards converting into how
many feet? So, we set it up. We have nine yards We are going to place that over one. And we are going to multiply it by three feet over one yard. And again, we have the feet on top because that’s what we are converting to. Again we are inserting one
label to cancel out another label. So, here the yards cancel out leaving us
just with feet. Now, we multiply straight across. 9 times
3 is 27. One times one is just 1. And here we have 27 divided by 1 which is just 27
feet. So 9 yards equals 27 feet. That is the end of our video.

## 3 thoughts on “Converting yards to feet and back”

1. Straight Shooter says:

if something is 3 yards for 150 yards how would you multiply that math is not my strong point i am in the 6th grade can u help.

2. Anthony Audain says:

Awesome

3. lakeisha johnson says:

I need help with algebra I'm a older student help