A piece of bamboo is 2 1/4 m long. Jessie cuts 1 1/3 m to be used for making some kites and another piece 3/4 m long to be given to his friend how long is the remaining piece of bamboo?

To find the remaining length of the bamboo, we need to subtract the lengths of the pieces Jessie cut from the original length of the bamboo.

1. **Original length of the bamboo**: \( 2 \frac{1}{4} \) meters

   Convert this mixed number to an improper fraction:
   \[
   2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{9}{4} \text{ meters}
   \]

2. **Length of the piece used for kites**: \( 1 \frac{1}{3} \) meters

   Convert this mixed number to an improper fraction:
   \[
   1 \frac{1}{3} = \frac{1 \times 3 + 1}{3} = \frac{4}{3} \text{ meters}
   \]

3. **Length of the piece given to his friend**: \( \frac{3}{4} \) meters

4. **Subtract the lengths**:

   First, subtract the piece used for kites from the original length:
   \[
   \frac{9}{4} - \frac{4}{3}
   \]

   To subtract these fractions, find a common denominator (12 in this case):
   \[
   \frac{9}{4} = \frac{27}{12}, \quad \frac{4}{3} = \frac{16}{12}
   \]
   \[
   \frac{27}{12} - \frac{16}{12} = \frac{11}{12} \text{ meters}
   \]

   Now, subtract the piece given to his friend:
   \[
   \frac{11}{12} - \frac{3}{4}
   \]

   Convert \( \frac{3}{4} \) to have a denominator of 12:
   \[
   \frac{3}{4} = \frac{9}{12}
   \]
   \[
   \frac{11}{12} - \frac{9}{12} = \frac{2}{12} = \frac{1}{6} \text{ meters}
   \]

So, the remaining piece of bamboo is \( \frac{1}{6} \) meters long.

Would you like more details or have any questions?

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Here are 5 related questions to consider:
1. How do you convert a mixed number into an improper fraction?
2. What is the process for finding a common denominator?
3. How would the calculation change if Jessie cut 1/2 meter instead of 3/4 meter?
4. How do you add or subtract fractions with different denominators?
5. What is the significance of simplifying fractions in subtraction problems?

**Tip:** When subtracting fractions, always check if they have the same denominator; if not, convert them first.

Learn how to calculate the remaining length of a bamboo piece after cuts using fractions and subtraction. This problem involves converting mixed numbers to improper fractions and subtracting fractions with different denominators. Suitable for students in Grades 5-7.

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