33 ⅓ = 1/3
16 ⅔ = 1/6
37.5% = 3/8
for more see the below image:
TRICK 2 Most percents are in the form of small word problems, so just knowing what the words mean can be a HUGE help:
Of: Of means multiply.
Is: Is means equals.
What: What is the value you are looking for (i.e. the variable).
From: From means subtract.
Less Than: Less than means subtract
More Than: More than means addition As: As means a ratio.
Into: Into means divide.
Using the words above, we can set up an equation that should be simple enough to solve.
QUESTION 1. 20% of 54 is 9% of ?
a. Substituting we get – (.20 x 54) = .09 x n
b. Simplifying we get – (20 x 54)/9 = n. (Notice we can ignore the decimal places since there are the same number of decimal places in the denominator as in the numerator.)
c. (20 x 54) / 9 = 20 x 6 = 120.
d. The answer is 120.
QUESTION 2. If x% of 140 is 16.8, then x = ?
a. Substituting we get – 140x = 16.8. (Ignore the percent for the time being.Just know that we will have to change the decimal to a percent in the end.)
b. Solving we get x = 16.8/140 or x = 168/1400 which simplifies to 24/200 or 12/100 which is .12. Changing this to a percent we get 12. (Notice that I first divided by 7, then divided by 2. Also, there is no need, since we are dealing with percents, to simplify it to its most basic form.)
c. The answer is 12.