Working with conversions. We are going to be converting cups to milliliters. Here is our game plan. We are going to begin with cups. We are going to move to fluid ounces and we are going to finish with
milliliters. We will need two conversion factors. The first one one cup equals
eight fluid ounces. The second, one fluid ounce equals 29.57 milliliters. Now quick
point fluid ounces are not the same as ounces. We are dealing with volume in this video. So here is our question: 3 cups converts into how many milliliters? So we
have our 3 cups and what we are going to be doing is multiplying and dividing
by 1 in an effort to change the label. So here is our first conversion factor.
Since both of these terms are equal. We can put them into a ratio over
each other and eight fluid ounces divided by one cup equals one. Here is our second conversion factor.
Since both of these terms are equal We can put them to a ratio and 29.57
milliliters divided by one fluid ounce equals one as well.
So to begin, we have three cups times eight fluid ounces over 1 cup times
29.57 milliliters over one fluid ounce. Now everything we’re converting to is on
top. And we are inserting one label in an effort to cancel out another label. Now all the labels canceled out except
for milliliters. Now we multiply across three times eight
equals 24. 1 times 1 equals 1.
24 times 29.57 equals seven hundred and nine point six eight. Now divided by one.
Here is our solution. So three cups equals seven hundred nine point six eight
milliliters. Now let’s go from milliliters to cups. Let’s convert a
seven hundred nine point six eight milliliters back in the cups. Here is our
game plan. We begin with milliliters, go up to fluid ounces, go over to cups. So
again we need two conversion factors. The first one: fluid ounces equals twenty
nine point five seven milliliters. We are going to put that into a ratio and we are going to flip that ratio making it equal to its inverse. But the one we are going to use is this one right here on the left because we are going to convert the
fluid ounces first. Same for our next conversion factor. We have eight fluid
ounces equals one cup. We are going to put that into a ratio and make it equal to
its inverse. And we are going to be using this one on the right hand side because
we are going to be converting 2 cups. We need that one on top. So here we go
working it out. Now we are going to multiply in our conversion factors and
notice that again what we are converting to is on top. We insert one label in order to cancel out the other label. Now we multiply So now we divide. And this gives us three, So our final
answer is three cups. So three cups equals seven zero nine point six eight milliliters. Thanks!