Jake's measures the height of a tree to be 74 3/8 inches. Six months later, he measures the height again. He says the tree has grown 2 3/4 inches. How tall is the tree?

77 1/8 inches tall, or 617/8 inches tall.

Step-by-step explanation:

The original height of the tree is 74 3/8 inches and it grows 2 3/4 inches after six months

1. Add these two numbers together to calculate the height of the tree now.

74 3/8 + 2 3/4

2. Because they are both mixed numbers, find a common denominator to add the fractions. 8 is the lowest common denominator for 4 and 8

74 3/8 + 2 6/8

3. Add the whole numbers up (74 + 2) and add the numerators of the fractions together to get a single fraction (3/8 + 6/8).

74 + 2 = 76

3/8 + 6/8=9/8

Putting the two together, we get 76 9/8, which is simplified to771/8

You can turn this answer into an improper fraction. To do this, multiply the whole number by the denominator and add the numerator.

77 x 8 = 616

616 + 1 = 617

The denominator stays the same, so our answer as an improper fraction would be 617/8

77 1/8 inches tall, or 617/8 inches tall