Question
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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. \[ \boxed{\dfrac{5}{18}} \]

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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 \( \frac{5}{18} \).

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