UFA in a Nutshell

  • Find the unit of the answer and write it down. The answer is usually a noun close to the question words, “how many,” “how much,” or “how long.

  • Find the verb of the question you are asking, translate it into an “equal” sign, and write down this equal sign after the unit of the answer.

  • Find a noun to the right of the verb and determine its unit, the problematic unit. There will usually be a number associated with this unit; write down this number and its problematic unit after the equal sign.

  • Compare the problematic units to those of the answer. If they are not the same, do the following sub-listitems:

    • Introduce a unit factor whose numerator (top) contains the unit of the answer or whose denominator (bottom) contains a problematic unit.

    • Cancel any units which appear as both numerator and denominator. Do not cancel any numbers associated with these units. Examine the remaining un-canceled units; these are now the problematic units.

    Repeat this step as many times as needed to make the units the same on both sides of the equal sign.

  • Skip to a new line and write a new equal sign.

  • Now that the units of the answer are the same as those of the problem, multiply and divide all of the numbers on the right-hand side and write the answer with its unit.