Question
Divide. Write your answer in simplest form. \( \frac{5}{3} \div 6 \) Dision involving a whole number and a fraction nim
Ask by Bryant Cruz. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\(\frac{5}{18}\)
Solution
To divide \(\frac{5}{3}\) by \(6\), follow these steps:
\[
\frac{5}{3} \div 6 = \frac{5}{3} \times \frac{1}{6} = \frac{5 \times 1}{3 \times 6} = \frac{5}{18}
\]
**Simplest form:** \(\frac{5}{18}\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To divide a fraction by a whole number, you can multiply the whole number by the reciprocal of the fraction. Here, the reciprocal of 6 is \( \frac{1}{6} \). So, you would compute \( \frac{5}{3} \times \frac{1}{6} = \frac{5 \times 1}{3 \times 6} = \frac{5}{18} \). Thus, \( \frac{5}{3} \div 6 = \frac{5}{18} \). A common mistake when dividing fractions is to forget to multiply by the reciprocal, which can lead to incorrect answers. Always remember the "flip and multiply" rule when handling operations involving fractions and whole numbers!
