Question
A piece of string \( \frac{3}{4} \mathrm{~m} \) long was cut into 5 equal pieces. What was the length of each piece of string?
Ask by Delgado Medina. in Singapore
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Each piece of string is \( \frac{3}{20} \) meters long, or 15 centimeters.
Solution
To determine the length of each piece when a \( \frac{3}{4} \) meter string is cut into 5 equal parts, follow these steps:
1. **Understand the Problem:**
- **Total Length of String:** \( \frac{3}{4} \) meters
- **Number of Pieces:** 5
2. **Divide the Total Length by the Number of Pieces:**
\[
\text{Length of each piece} = \frac{\frac{3}{4} \text{ meters}}{5}
\]
3. **Perform the Division:**
\[
\frac{3}{4} \div 5 = \frac{3}{4} \times \frac{1}{5} = \frac{3 \times 1}{4 \times 5} = \frac{3}{20} \text{ meters}
\]
4. **Convert to Centimeters (Optional):**
- Since \( 1 \) meter = \( 100 \) centimeters,
\[
\frac{3}{20} \text{ meters} = \frac{3}{20} \times 100 \text{ centimeters} = 15 \text{ centimeters}
\]
**Final Answer:**
Each piece of string is \( \frac{3}{20} \) meters long, which is equivalent to **15 centimeters**.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To find the length of each piece of string, you need to divide the total length of the string, which is \( \frac{3}{4} \) meters, by the number of pieces, which is 5. So, you perform the division: \[ \text{Length of each piece} = \frac{\frac{3}{4}}{5} = \frac{3}{4} \times \frac{1}{5} = \frac{3}{20} \text{ meters} \] Therefore, each piece of string is \( \frac{3}{20} \) meters long.
