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

Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline25÷3 \frac{2}{5} \div 3 \newlineAnswer:

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Q. Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.\newline25÷3 \frac{2}{5} \div 3 \newlineAnswer:
  1. Understand Division of Fraction: Understand the division of a fraction by a whole number. To divide a fraction by a whole number, you can multiply the fraction by the reciprocal of the whole number. Reciprocal of 33 is 13\frac{1}{3}. So, (25)÷3(\frac{2}{5}) \div 3 is the same as (25)×(13)(\frac{2}{5}) \times (\frac{1}{3}).
  2. Multiply Numerators and Denominators: Multiply the numerators and denominators.\newlineMultiply the numerators: 2×1=22 \times 1 = 2.\newlineMultiply the denominators: 5×3=155 \times 3 = 15.\newlineSo, (25)×(13)=2×15×3=215(\frac{2}{5}) \times (\frac{1}{3}) = \frac{2\times1}{5\times3} = \frac{2}{15}.
  3. Check for Further Simplification: Check if the fraction can be simplified further. Since 22 and 1515 have no common factors other than 11, the fraction 215\frac{2}{15} is already in its simplest form.

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