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Divide. Simplify your answer. \newline12u11v÷5v2\frac{12u}{11v} \div 5v^2

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Full solution

Q. Divide. Simplify your answer. \newline12u11v÷5v2\frac{12u}{11v} \div 5v^2
  1. Rewrite as multiplication: Rewrite the division as multiplication by the reciprocal of the second fraction. So, 12u11v÷5v21\frac{12u}{11v} \div \frac{5v^2}{1} becomes 12u11v×15v2.\frac{12u}{11v} \times \frac{1}{5v^2}.
  2. Multiply numerators and denominators: Multiply the numerators and then multiply the denominators. So, 12u11v×15v2\frac{12u}{11v} \times \frac{1}{5v^2} becomes 12u×111v×5v2\frac{12u \times 1}{11v \times 5v^2}.
  3. Perform multiplication: Perform the multiplication in the numerator and the denominator. The numerator is simply 12u12u, and the denominator is 11v×5v211v \times 5v^2, which simplifies to 55v355v^3.
  4. Write in simplest form: Write the answer in the simplest form. So, (12u×1)/(11v×5v2)(12u \times 1)/(11v \times 5v^2) simplifies to 12u/55v312u/55v^3.

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