Ed needed to extend the string on his kite. The current string was eight and three fourths feet. He cut a piece of string that measured 4.5 feet and added it to the existing string. What is the new length of the string?

To find the new length of the string after Ed adds the additional piece, we need to add the length of the existing string to the length of the added string.

The current string length is 8 and 3/4 feet, which can be written as a mixed number:
\[
8 \frac{3}{4} \text{ feet}
\]
We can convert this mixed number into an improper fraction:
\[
8 \frac{3}{4} = \frac{8 \times 4 + 3}{4} = \frac{32 + 3}{4} = \frac{35}{4} \text{ feet}
\]

The additional string length is given as 4.5 feet. We can convert 4.5 into a fraction:
\[
4.5 = \frac{9}{2} \text{ feet}
\]

Now, let's add these two fractions:
\[
\frac{35}{4} + \frac{9}{2}
\]

To add these fractions, we need a common denominator. The least common denominator between 4 and 2 is 4. We convert \(\frac{9}{2}\) to \(\frac{18}{4}\):
\[
\frac{35}{4} + \frac{18}{4} = \frac{53}{4} \text{ feet}
\]

Finally, we can convert \(\frac{53}{4}\) back into a mixed number:
\[
\frac{53}{4} = 13 \frac{1}{4} \text{ feet}
\]

So, the new length of the string is **13 and 1/4 feet**.

Would you like more details on this solution or have any other questions?

Here are 5 related questions:
1. How do you convert between mixed numbers and improper fractions?
2. What is the process for finding the least common denominator?
3. How do you add or subtract fractions with different denominators?
4. Can you multiply or divide mixed numbers directly, or do you need to convert them first?
5. How can you simplify improper fractions back into mixed numbers?

**Tip:** Always ensure that fractions have a common denominator before adding or subtracting them.

Learn how to calculate the new length of a string after adding 4.5 feet to an existing length of 8 and 3/4 feet. This problem involves adding fractions and converting between mixed numbers and improper fractions. Suitable for students in Grades 4-6.

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