A pelican flies 2 1/4 feet above the surfaces of the ocean. A dolphin swims 10 1/2 feet below the surface. how far apart are the dolphin and the pelican.
2 1/4 + 10 1/2 = 2 1/4 + 10 2/4 = 12 3/4
To find the distance between the pelican and the dolphin, we need to add the distance of each from the surface of the ocean.
The pelican is flying 2 1/4 feet above the surface, so its distance from the surface is 2 1/4 feet.
The dolphin is swimming 10 1/2 feet below the surface, so its distance from the surface is 10 1/2 feet.
To find the total distance between them, we add the distances:
2 1/4 feet + 10 1/2 feet = (9/4) feet + (21/2) feet
To add these fractions, we need to find a common denominator:
The multiples of 4 are: 4, 8, 12, 16, ...
The multiples of 2 are: 2, 4, 6, 8, 10, 12, ...
The common denominator is 8, so we convert the fractions:
(9/4) feet = (9/4) * (2/2) = 18/8 feet
(21/2) feet = (21/2) * (4/4) = 84/8 feet
Now we can add the fractions:
18/8 feet + 84/8 feet = 102/8 feet
Finally, we simplify the fraction:
102/8 feet = 12 3/4 feet
Therefore, the pelican and the dolphin are 12 3/4 feet apart.
To find the distance between the dolphin and the pelican, we need to add the distance above the surface for the pelican (2 1/4 feet) to the distance below the surface for the dolphin (10 1/2 feet).
To add mixed numbers, we follow these steps:
1. Convert the mixed numbers to improper fractions.
2 1/4 = (2 * 4 + 1) / 4 = 9/4
10 1/2 = (10 * 2 + 1) / 2 = 21/2
2. Find a common denominator for both fractions, which in this case is 4. Multiply the numerator and denominator of the second fraction (21/2) by 2 to get the same denominator.
9/4 + (21*2)/(2*2) = 9/4 + 42/4 = 51/4
So, the distance between the dolphin and the pelican is 51/4 feet.
Now, if you need the decimal approximation of the distance, you can divide the numerator (51) by the denominator (4):
51 ÷ 4 = 12.75
Therefore, the dolphin and the pelican are approximately 12.75 feet apart.