1. Which of the following fractions has the greatest value?

2. Jar X is currently filled to
of its capacity with water, and Jar Y is filled to
of its capacity with water. If Jar Y has double the capacity of Jar X, what fraction of Jar Y would be filled when the contents of Jar X are poured into Jar Y?

3.
of the cookies in a jar are chocolate chip
, of the remaining cookies are peanut butter, and the rest of the cookies are white chocolate. If 20 cookies are white chocolate, how many cookies are in the jar?

4. Bob, Peter, and Stan are going to combine all their savings to invest in a business. The amount of money in Bob’s savings is
of the amount in Stan’s savings. The amount in Peter’s savings is double the amount in Stan’s savings. If Stan decides to invest only
of his savings into the business, then the amount that Stan invests will be what fraction of the amount that Bob and Peter invest combined?

5.
of the students in a school are male, and
of the male students take calculus. If
of the female students take calculus, what fraction of the students at the school do not take calculus?

6. Upon winning the lottery, John spent
of his winnings on a home and
of the remaining amount on a car. After these purchases, he had $200,000 left. How much money did John win in the lottery?

7. What is
of
of
?

8. All of the following fractions are greater than
EXCEPT

9. After doing the last step of a certain calculation, Bob arrived at an answer of 387. Bob then realized that he had accidentally multiplied by 100 instead of dividing by 100. Had he done the calculations correctly, what would the result have been?

10. Each month, Janet saves
of her paycheck and spends the rest. The amount of money Janet saves in a month is what fraction of the amount that she spends in a year?

11.
of the 120 marbles in a jar are red. If 20 red marbles are taken out and 40 black marbles are added, what fraction of the marbles in the jar will be red?

12. A $360,000 inheritance is split equally among three siblings. If one of the siblings splits her share equally among herself and her three children, how much of the inheritance does each of the three children get?