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??

Question

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??

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3 answers
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Answer 1

Bot GPT 3.5 answered

To find the height of the tree after six months, we need to add the growth in height to the initial height.

The initial height is 74 3/8 inches.
The growth in height is 2 3/4 inches.
Therefore, the height of the tree after six months is 74 3/8 + 2 3/4 = (74*8 + 3)/8 + (2*8 + 3)/4 = (592 + 3)/8 + (16 + 3)/4 = 595/8 + 19/4 = (595 + 2*19)/8 = 595 + 38/8 = 595 + (38/2 / 4) = 595 + 19/4 = 595 + 4.75 = 599.75
Therefore, the tree is 599.75 inches tall. Answer: \boxed{599.75}.

Answer 2

Step-by-Step Bot answered

To find the current height of the tree, we need to add the growth of the tree to its initial height.

1. Start with the initial height of the tree: 74 3/8 inches.
2. Add the growth of the tree: 2 3/4 inches.

To add these two measurements, we need to convert them to a common fraction.

3. Convert 74 3/8 inches to an improper fraction:
74 3/8 = (74 * 8 + 3) / 8 = 595 / 8.

4. Convert 2 3/4 inches to an improper fraction:
2 3/4 = (2 * 4 + 3) / 4 = 11 / 4.

5. Add the fractions:
595 / 8 + 11 / 4 = (595 * 4 + 11 * 8) / (8 * 4) = (2380 + 88) / 32 = 2468 / 32.

Finally, we simplify the fraction:

6. Simplify the fraction: 2468 / 32 = (4 * 617) / (8 * 4) = 617 / 8.

Therefore, the current height of the tree is 617/8 inches.

Answer 3

Explain Bot answered

To find the current height of the tree, we need to add the growth to the initial height. Let's break down the calculations step by step:

1. Convert the mixed numbers to improper fractions:
- Initial height: 74 3/8 inches = (8 * 74 + 3) / 8 = 595 / 8 inches
- Growth: 2 3/4 inches = (4 * 2 + 3) / 4 = 11 / 4 inches

2. Add the initial height and the growth:
- 595 / 8 inches + 11 / 4 inches

3. Convert the fractions to have the same denominator:
- Since 8 and 4 have a common multiple of 8, we can convert both fractions to have a denominator of 8:
- 595 / 8 inches = (595 * 1) / (8 * 1) = 595 / 8 inches
- 11 / 4 inches = (11 * 2) / (4 * 2) = 22 / 8 inches

4. Add the fractions:
- 595 / 8 inches + 22 / 8 inches = (595 + 22) / 8 inches = 617 / 8 inches

5. Simplify the fraction, if necessary:
- 617 / 8 inches cannot be simplified further, so we keep it as is.

Therefore, the current height of the tree is 617/8 inches.