Multiply. Simplify your answer. 6q^2r/19qr * 11q^2r ______

Write Multiplication Fractions: Write down the multiplication of the two fractions. So, we have (6q^2r/19qr) * (11q^2r).Multiply Numerators Denominators: Multiply the numerators together and the denominators together. So, we have (6q^2r * 11q^2r) / (19qr * 1).Perform Multiplication Numerator: Perform the multiplication in the numerator. 6q^2r * 11q^2r equals 66q^4r^2.Simplify Expression: Since there is no multiplication to perform in the denominator (as it is just 19qr), we can move on to simplifying the expression.Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. The q^2 in the numerator cancels out with the q in the denominator, and the r in the numerator cancels out with the r in the denominator.Final Answer: After canceling out the common factors, we are left with (66q^2r) / (19).There are no further simplifications that can be made, so this is the final answer.

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Algebra 1

Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

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\frac{6q^2r}{19qr} \times 11q^2r

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