1. Explain the answer to each of the following without computing anything.

a. Is 5/8 + 2 9/10 between 3 and 3 1/2 or is it between 3 1/2 and 4?

b. Is 8 3/4 x 2 7/8 greater than 20 or less than 20?

c. Is 5 7/8 / 10 7/8 greater than 1/2 or less than 1/2?

2.Do not do any paper or calculator calculations for any part of this question.

a. What is a if a/15 = 1/2? Justify your answer with a picture.

b. For each pair of fractions, determine which is closer to 1/2. Briefly explain your reasoning.

i. 11/25 or 13/25

ii.5/8 or 9/20

iii. 12/25 or 7/15

iv. 11/24 or 9/20

c. For each pair of fractions, determine which is larger. Briefly explain your reasoning.

i. 11/101 or 11/137

ii. 5/8 or 7/15

iii. 24/25 or 25/26