Help with Unit Conversions

Hope this helps anyone who might be having issues understanding Unit Conversions

How many inches are there in 3 yards?

What we want is the same number only different name.

For example   5 is the same as 25/5 or 50/10

In this case we have 3 yards so we multiply by 1 to get another answer (or another name for the same number).   

1=3 feet       1=12 inches  

    1 yard                1 foot

In this problem we need to convert the 3 yards into feet first then into inches.

3 yards   X   3 Feet    X  12 inches  =

       1           1 yard          1 foot        (The unit you need to cancel out should be on the bottom and the unit you are changing into on the top)

Yards and Feet cancel out

3 yards   X   3 Feet    X  12 inches  =  Becomes 3 x 3 x 12 = 108 inches

          1           1 yard          1 foot        

You can do this with any units of measure.

2^nd example

8 Euros equal how many English pounds?

We know that 1 Euro is equal to $1.30 Dollars so we will need to first convert The 8 Euros into Dollars

8 Euros  x  1 Dollar  =  8 Dollars  = 6.15 Dollars 

       1          1.30 E            1.30

Now we convert 6.15 dollars into Pounds

6.15 D  x   1  pound=  6.15 pounds   =   4.10 pounds

     1           1.50 D        1.50 Dollars

or you can simplify by writing it out like this

8 Euros  x  1 Dollar   x   1  pound=   8 x 1 pound  =       8      = 4.10 pounds

     1            1.30 E            1.50 D       1.30 x 1.50         1.95