Final answer:
Bob's dive takes him 3.7 meters.
Step-by-step explanation:
To find out how far Bob's dive takes him, we need to add the distance above the water to the distance below the surface. The platform is 7 1/2 meters above water and Bob dives 2 1/5 meters below the surface. To add these distances, we can convert the mixed numbers to improper fractions and then add them together.
The platform is 7 1/2 meters above water, which is equivalent to 15/2 meters. Bob dives 2 1/5 meters below the surface, which is equivalent to 11/5 meters. Adding these fractions, we get (15/2) + (11/5) = (37/10) meters. Therefore, Bob's dive takes him 37/10 meters, which is equal to 3.7 meters.