MAT 111 Group Members: Unit 2 Group Assignment 10 points

1. Find two different fractions between 3/5 and 2/3 whose numerators and denominators are whole numbers. Plot all four fractions carefully on a number line, along with 0 and 1. Make sure the fractions are positioned correctly with respect to the endpoints and their neighbors.

2. A student says that 1/5 is halfway between 1/4 and 1/6 because 5 is halfway between 4 and 6. Use a carefully drawn number line to show this is not correct. What fraction is halfway between 1/4 and 1/6? Explain how you know.

3. a. Is it valid to compare 30/70 and 20/50 by "cancelling the zeros" and comparing 3/7 and 2/5 instead? b. Is it valid to compare 15/25 and 105/205 by "cancelling the fives" and comparing 1/2 and 10/20 instead? Explain your answers.

Challenge problem: If a < b, compare and +1 +1 . Which is larger? How do you know