Conversion From One Unit to Another

Steps to convert one unit into another unit are as follows:
1) Find the appropriate equivalent.
2) You now have a choice between the two conversion factors that go with that equivalent.
3) Choose the conversion factor so that when you multiply it by your measurement, the old units cancel and the new units remain on top.

Example: How many miles is 12,370 feet? (In other words, convert 12,370 feet into miles.)
Step 1: Find the appropriate equivalent. It is "1 mile = 5,280 feet."
(Or 5,280 feet = 1 mile-it doesn't matter.)

Step 2: The two conversion factors that go with that equivalent are:

Step 3: Decide which conversion factor will cancel out the old unit, feet, and leave the new unit, miles, remaining on top. We first randomly select the conversion factor of 5,280 feet/1 mile to multiply our original measurement by:

Now we're going to multiply by the right one:
To remind you, we're converting 12,370 feet into miles. We have the appropriate equivalent of "1 mile = 5,280 feet" and we now need to pick the correct conversion factor of the two possible choices.

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