I'm assuming the question is asking how tall the tree is if it has grown 2 3/4 inches.
The initial height of the tree is 74 3/8 inches and it grows 2 3/4 inches after six months. We can add these two numbers together to calculate the height of the tree now.
Since these are both mixed numbers, we must find a common denominator to add our fractions. 8 is the lowest common denominator for 4 and 8. So:
We can now add our whole numbers up (74 + 2) and add the numerators of the fractions together to get a single fraction ().
74 + 2 = 76
Putting these two together, we get , which is equal to
.
We can also turn this answer into an improper fraction. This is done by multiplying the whole number by the denominator and adding the numerator. So in this case:
77 x 8 = 616
616 + 1 = 617
The denominator stays the same, so our answer as an improper fraction would be .
So the tree is inches tall, or
inches tall.