Question
5 Brett lives \( \frac{3}{10} \) mile from school. He rides his bike to and from school 5 days each week. How many miles does Brett ride each week? Show your work.
Ask by Ford Schofield. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Brett rides 3 miles each week.
Solution
To determine how many miles Brett rides each week, let's break down the problem step by step.
1. **Calculate the Daily Distance:**
- **One-Way Distance to School:** \( \frac{3}{10} \) mile
- **Round Trip (To and From School):**
\[
\frac{3}{10} \text{ mile (to school)} + \frac{3}{10} \text{ mile (back home)} = \frac{6}{10} \text{ miles}
\]
- **Simplify the Fraction:**
\[
\frac{6}{10} \text{ miles} = \frac{3}{5} \text{ miles}
\]
So, Brett rides **\( \frac{3}{5} \) miles each day**.
2. **Calculate the Weekly Distance:**
- **Number of Days Biking to School:** 5 days
- **Total Weekly Miles:**
\[
\frac{3}{5} \text{ miles/day} \times 5 \text{ days} = 3 \text{ miles}
\]
Therefore, **Brett rides a total of 3 miles each week**.
**Answer:** Brett rides **3 miles** each week.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To find out how many miles Brett rides each week, we need to calculate the distance he rides to school and back home, and then multiply it by the number of days he rides. 1. **Distance to school:** \( \frac{3}{10} \) mile. 2. **Distance for a round trip:** \( \frac{3}{10} + \frac{3}{10} = \frac{6}{10} \) miles, which simplifies to \( \frac{3}{5} \) miles. 3. **Total distance for 5 days:** \( \frac{3}{5} \times 5 = \frac{15}{5} = 3 \) miles. So, Brett rides a total of **3 miles** each week.
