Question
Divide. Write your answer in simplest form. \[ \frac{5}{6} \div 3 \]
Ask by Vaughan Hilton. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\frac{5}{18}\)
Solution
To divide \(\frac{5}{6}\) by \(3\), you can rewrite the division as a multiplication by the reciprocal of \(3\). Here's how you can do it step by step:
\[
\frac{5}{6} \div 3 = \frac{5}{6} \times \frac{1}{3}
\]
Multiply the numerators together and the denominators together:
\[
\frac{5 \times 1}{6 \times 3} = \frac{5}{18}
\]
The fraction \(\frac{5}{18}\) is already in its simplest form.
\[
\boxed{\dfrac{5}{18}}
\]
Reviewed and approved by the UpStudy tutoring team
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Beyond the Answer
To divide by a whole number, you can multiply by its reciprocal. So, to solve \( \frac{5}{6} \div 3 \), you can rewrite it as \( \frac{5}{6} \times \frac{1}{3} \). Now, multiply the numerators and the denominators: \[ \frac{5 \times 1}{6 \times 3} = \frac{5}{18} \] Thus, the answer in simplest form is \( \frac{5}{18} \).