Multiply. Simplify your answer. 3v/20v^2w^2 * 18vw ______

Write Problem: Write down the multiplication problem. We have the expression 3v/20v^2w^2 * 18vw. We need to multiply the numerators together and the denominators together.Multiply Numerators/Denominators: Multiply the numerators and denominators. Multiplying the numerators: 3v * 18vw = 54v^2w Multiplying the denominators: 20v^2w^2 remains the same since there is nothing to multiply it by. So we have 54v^2w / 20v^2w^2.Simplify Expression: Simplify the expression by canceling out common factors. We can cancel v^2 from the numerator and denominator, and we can also cancel w from the numerator and denominator. Additionally, we can simplify the coefficients by dividing both by their greatest common divisor, which is 2. 54/20 simplifies to 27/10. So the expression simplifies to 27v^0w^0 / 10v^0w^1 which is 27/10w.Write Final Answer: Write the final simplified answer. The final simplified answer is 27/10w.

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Algebra 2

Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

\newline

\frac{3v}{20v^2w^2} \times 18vw

Write Problem: Write down the multiplication problem. $\newline$ We have the expression $\frac{3v}{20v^2w^2} \times 18vw$ . We need to multiply the numerators together and the denominators together.
Multiply Numerators/Denominators: Multiply the numerators and denominators. $\newline$ Multiplying the numerators: $3v \times 18vw = 54v^2w$ $\newline$ Multiplying the denominators: $20v^2w^2$ remains the same since there is nothing to multiply it by. $\newline$ So we have $\frac{54v^2w}{20v^2w^2}$ .
Simplify Expression: Simplify the expression by canceling out common factors. $\newline$ We can cancel $v^2$ from the numerator and denominator, and we can also cancel $w$ from the numerator and denominator. Additionally, we can simplify the coefficients by dividing both by their greatest common divisor, which is $2$ . $\newline$ $\frac{54}{20}$ simplifies to $\frac{27}{10}$ . $\newline$ So the expression simplifies to $\frac{27v^0w^0}{10v^0w^1}$ which is $\frac{27}{10w}$ .
Write Final Answer: Write the final simplified answer. $\newline$ The final simplified answer is $\frac{27}{10}w$ .