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Perform the operation and simplify the answer fully. (7)/(6)÷(2)/(5) Answer:

Perform the operation and simplify the answer fully.\newline76÷25 \frac{7}{6} \div \frac{2}{5} \newlineAnswer:

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Full solution

Q. Perform the operation and simplify the answer fully.\newline76÷25 \frac{7}{6} \div \frac{2}{5} \newlineAnswer:
  1. Understand Division of Fractions: Understand the division of fractions.\newlineTo divide by a fraction, you multiply by its reciprocal.
  2. Find Reciprocal of Second Fraction: Find the reciprocal of the second fraction.\newlineThe reciprocal of (25)(\frac{2}{5}) is (52)(\frac{5}{2}).
  3. Multiply Fractions: Multiply the first fraction by the reciprocal of the second fraction.\newline(76)÷(25)=(76)×(52)(\frac{7}{6}) \div (\frac{2}{5}) = (\frac{7}{6}) \times (\frac{5}{2})
  4. Perform Multiplication: Perform the multiplication.\newlineMultiply the numerators and then the denominators.\newline(7×5)/(6×2)=35/12(7 \times 5) / (6 \times 2) = 35 / 12
  5. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction 3512\frac{35}{12} is already in its simplest form as 3535 and 1212 have no common factors other than 11.

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