Question
Calculate the total length needed to make 7 bracelets if each bracelet uses \( \frac{3}{4} \) foot of cor \( 3 \times \frac{3}{4}=\frac{9}{4} \) or \( 1 \frac{1}{4} \) feet \( 7+\frac{3}{4}=7 \frac{3}{4} \) feet
Ask by Sandoval Washington. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
You need \(5 \frac{1}{4}\) feet of cord to make 7 bracelets.
Solution
To determine the total length of cord needed to make 7 bracelets, where each bracelet requires \(\frac{3}{4}\) foot of cord, follow these steps:
1. **Identify the Quantity per Bracelet:**
Each bracelet uses:
\[
\frac{3}{4} \text{ foot of cord}
\]
2. **Multiply by the Number of Bracelets:**
To find the total length for 7 bracelets, multiply the length required for one bracelet by the total number of bracelets:
\[
7 \times \frac{3}{4} = \frac{21}{4} \text{ feet}
\]
3. **Simplify the Fraction:**
\(\frac{21}{4}\) can be converted to a mixed number:
\[
\frac{21}{4} = 5 \frac{1}{4} \text{ feet}
\]
4. **Conclusion:**
**You need a total of \(5 \frac{1}{4}\) feet of cord** to make 7 bracelets.
---
**Summary:**
\[
7 \times \frac{3}{4} = \frac{21}{4} = 5 \frac{1}{4} \text{ feet}
\]
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To figure out the total length needed for 7 bracelets, you simply multiply the length of one bracelet by the total number of bracelets. That’s \( 7 \times \frac{3}{4} \) feet, which equals \( \frac{21}{4} \) feet or \( 5 \frac{1}{4} \) feet. Now, here's a little tip: when multiplying fractions, it's crucial to ensure your fractions are in their simplest form before starting the calculations. A common mistake is to forget to convert the improper fractions to mixed numbers or not keeping track of the units, which can lead to confusion at the end of your calculations. Keep your workspace organized, and you’ll always stay on track!
