Division of Fractions

Procedures:

1. Take the reciprocal of the denominator or the divisor.
   The reciprocal of \( \frac{2}{3}\) is \( \frac{3}{2}\), the reciprocal of \( \frac{1}{5}\) is 5.
2. Multiply the reciprocal to the numerator.

Examples:

1. Reciprocal of the denominator \( \frac{5}{6} \) is \( \frac{6}{5}\)
2. Multiply \( \frac{6}{5}\) to the numerator \( \frac{2}{3} \)
3. \( \frac{6}{5}\) x \( \frac{2}{3} \) = \( \frac{12}{15} \)
4. Simplify / Reduce
5. \( \frac{12}{15} \) = \( \frac{4}{5}\)

1. Reciprocal of the denominator \( \frac{3}{5} \) is \( \frac{5}{3}\)
2. Multiply \( \frac{5}{3}\) to the numerator \( \frac{8}{3} \)
3. \( \frac{5}{3}\) x \( \frac{8}{3} \) = \( \frac{40}{9} \)
4. Since the numerator and the denominator has no common factors \( \frac{40}{9}\) is the simplest form