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?

Question

UpStudy AI · Accepted Answer

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**.
Each piece of string is $$ \frac{3}{20} $$ meters long, or 15 centimeters.

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?

Solución de tutoría real

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Arithmetic Questions