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Multiply. Simplify your answer.\newline6q2r19qr×11q2r\frac{6q^2r}{19qr} \times 11q^2r

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Full solution

Q. Multiply. Simplify your answer.\newline6q2r19qr×11q2r\frac{6q^2r}{19qr} \times 11q^2r
  1. Write Multiplication Fractions: Write down the multiplication of the two fractions. So, we have (6q2r19qr)×(11q2r)(\frac{6q^2r}{19qr}) \times (11q^2r).
  2. Multiply Numerators Denominators: Multiply the numerators together and the denominators together. So, we have (6q2r×11q2r)/(19qr×1)(6q^2r \times 11q^2r) / (19qr \times 1).
  3. Perform Multiplication Numerator: Perform the multiplication in the numerator. 6q2r×11q2r6q^2r \times 11q^2r equals 66q4r266q^4r^2.
  4. Simplify Expression: Since there is no multiplication to perform in the denominator (as it is just 19qr19qr), we can move on to simplifying the expression.
  5. Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. The q2q^2 in the numerator cancels out with the qq in the denominator, and the rr in the numerator cancels out with the rr in the denominator.
  6. Final Answer: After canceling out the common factors, we are left with (66q2r19)(\frac{66q^2r}{19}).
  7. Final Answer: After canceling out the common factors, we are left with (66q2r)/(19)(66q^2r) / (19).There are no further simplifications that can be made, so this is the final answer.

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