Question
Solve the equation. \[ 7 \frac{1}{10}=\frac{s}{5} \] \[ s= \] \( \square \) (Type a whole number, fraction, or mixed number.)
Ask by Fernandez Smith. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( s = 35 \frac{1}{2} \)
Solution
To solve the equation:
\[
7 \frac{1}{10} = \frac{s}{5}
\]
Follow these steps:
1. **Convert the Mixed Number to an Improper Fraction:**
\[
7 \frac{1}{10} = \frac{71}{10}
\]
2. **Set Up the Equation:**
\[
\frac{71}{10} = \frac{s}{5}
\]
3. **Solve for \( s \) by Cross-Multiplying:**
\[
71 \times 5 = 10 \times s
\]
\[
355 = 10s
\]
4. **Divide Both Sides by 10 to Isolate \( s \):**
\[
s = \frac{355}{10} = 35 \frac{5}{10} = 35 \frac{1}{2}
\]
**Final Answer:**
\[
s = 35 \frac{1}{2}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To solve the equation \( 7 \frac{1}{10} = \frac{s}{5} \), first, convert the mixed number to an improper fraction. \( 7 \frac{1}{10} = \frac{71}{10} \). Now, substitute this back into the equation: \[ \frac{71}{10} = \frac{s}{5} \] To isolate \( s \), multiply both sides by 5: \[ s = 5 \times \frac{71}{10} = \frac{355}{10} \] Simplifying the fraction, we get: \[ s = 35.5 \text{ or } 35 \frac{1}{2} \] So, \( s = 35 \frac{1}{2} \) (or \(s = 35.5\)). \( \square \) 35 \(\frac{1}{2}\)
