Roger has played basketball for 5 3/4 years. Cindy has played for 2 5/6 years. What us a reasonable estimate for how much longer Roger has played than Cindy?

Answer 1

5 3/4 is almost 6
2 5/6 is almost 3

What do you think is a reasonable estimate?

Answer 2

3 years?

Answer 3

Right. We'd naturally say that Roger has played for about three years longer than Cindy.

Answer 4

5 3/4=5+(3/4)=5+(9/12)=(60/12)+(9/12)=69/12

2 5/6=2+5/6=2+(10/12)=(24/12)+(10/12)=34/12

(69/12)-(34/12)= 35/12=(24/12)+(11/12)
=2+(11/12)= 2 11/12