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Perform the operation and simplify the answer fully.

((8)/(5))/((3)/(2))
Answer:

Perform the operation and simplify the answer fully.\newline8532 \frac{\frac{8}{5}}{\frac{3}{2}} \newlineAnswer:

Full solution

Q. Perform the operation and simplify the answer fully.\newline8532 \frac{\frac{8}{5}}{\frac{3}{2}} \newlineAnswer:
  1. Multiply fractions by reciprocal: To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.\newlineCalculation: (85)×(23)\left(\frac{8}{5}\right) \times \left(\frac{2}{3}\right)
  2. Multiply numerators and denominators: Now, multiply the numerators together and the denominators together.\newlineCalculation: (8×2)/(5×3)(8 \times 2) / (5 \times 3)
  3. Perform multiplication: Perform the multiplication.\newlineCalculation: 16/1516 / 15
  4. Check for simplest form: The fraction 1615\frac{16}{15} is already in its simplest form, as 1616 and 1515 have no common factors other than 11.

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