a dolphin swims from 10 3/4 feet under water and jumps 16 1/2 feet out of the water. What is the distance from his starting point to the highest point of his jump? I got 26 5/4
Right.
Now simplify 26 5/4.
To find the distance from the dolphin's starting point to the highest point of its jump, we can add the distance it swims under water and the distance it jumps out of the water.
The dolphin swims 10 3/4 feet under water, and jumps 16 1/2 feet out of the water. To add these distances, we need to express them with the same denominator.
First, let's express 10 3/4 as an improper fraction:
10 3/4 = (10 * 4 + 3) / 4 = 43/4
Now, let's express 16 1/2 as an improper fraction:
16 1/2 = (16 * 2 + 1) / 2 = 33/2
Now we can add the distances:
43/4 + 33/2 = (43/4) + (33/2)
To add these fractions, we need a common denominator, which is 4:
(43/4) + (33/2) = (43/4) + (33/2 * 2/2) = (43/4) + (66/4)
Now, we can add the numerators:
(43 + 66) / 4 = 109/4
So, the total distance from the dolphin's starting point to the highest point of its jump is 109/4 feet.
To simplify the fraction, we can divide the numerator by the denominator:
109 ÷ 4 = 27 remainder 1
Therefore, the simplified fraction is:
109/4 = 27 1/4
So, the distance from the dolphin's starting point to the highest point of its jump is 27 1/4 feet.