Problem Set

1. 1. For problems 1–5, decide whether the given operation will yield an Increase, a Decrease, or a result that will Stay the same.

   1. Multiply the numerator of a positive, proper fraction by .
   2. Add 1 to the numerator of a positive, proper fraction and subtract 1 from its denominator.
   3. Multiply both the numerator and denominator of a positive, proper fraction by .
   4. Multiply a positive, proper fraction by .
   5. Divide a positive, proper fraction by .

   6. Solve problems 6–15.

   6. Simplify:
   7. Simplify:
   8. Simplify:
   9. Simplify:     (given that )
   10. Put these fractions in order from least to greatest:
   11. Put these fractions in order from least to greatest:
   12. Lisa spends of her monthly paycheck on rent and on food. Her roommate, Carrie, who earns twice as much as Lisa, spends of her monthly paycheck on rent and on food. If the two women decide to donate the remainder of their money to charity each month, what fraction of their combined monthly income will they donate? (Assume all income in question is after taxes.)
   13. Rob spends of his monthly paycheck, after taxes, on rent. He spends on food and on entertainment. If he donates the entire remainder, $500, to charity, what is Rob’s monthly income, after taxes?
   14. Are and reciprocals?
   15. Estimate to the closest integer: What is of of 120?

   16. Quantity A	Quantity B

   17. Quantity A	Quantity B
       	8

   18. An 18 oz. glass is filled with 8 oz. of orange juice. More orange juice is added so that the glass is full.

       Quantity A	Quantity B
       Number of ounces of orange juice added	6