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Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. (1)/(5)÷(2)/(3) Answer:

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline15÷23 \frac{1}{5} \div \frac{2}{3} \newlineAnswer:

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Full solution

Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline15÷23 \frac{1}{5} \div \frac{2}{3} \newlineAnswer:
  1. Multiply fractions by reciprocal: To divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction.\newlineSo, (15)÷(23)(\frac{1}{5}) \div (\frac{2}{3}) becomes (15)×(32)(\frac{1}{5}) \times (\frac{3}{2}).
  2. Multiply numerators and denominators: Now, we multiply the numerators together and the denominators together.\newline(1×3)/(5×2)=3/10(1 \times 3) / (5 \times 2) = 3 / 10.
  3. Simplify final fraction: The fraction 310\frac{3}{10} is already in its simplest form, as 33 and 1010 have no common factors other than 11.

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