Question
Write your answer in simplest form. \( 3 \div \frac{7}{6} \)
Ask by Kelley Page. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\frac{18}{7}\)
Solution
To simplify the expression \( 3 \div \frac{7}{6} \), follow these steps:
1. **Rewrite the division as multiplication by the reciprocal:**
\[
3 \div \frac{7}{6} = 3 \times \frac{6}{7}
\]
2. **Multiply the numerators and denominators:**
\[
3 \times \frac{6}{7} = \frac{18}{7}
\]
3. **Check if the fraction can be simplified:**
\(\frac{18}{7}\) is already in its simplest form since 18 and 7 have no common factors other than 1.
**Final Answer:**
\[
\frac{18}{7}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To simplify \( 3 \div \frac{7}{6} \), you can multiply \( 3 \) by the reciprocal of \( \frac{7}{6} \), which is \( \frac{6}{7} \). So, \( 3 \div \frac{7}{6} = 3 \times \frac{6}{7} = \frac{18}{7} \). Now, \( \frac{18}{7} \) is already in its simplest form as there are no common factors between \( 18 \) and \( 7 \). Thus, the final answer is \( \frac{18}{7} \).
