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Multiply. Simplify your answer. $\newline$ $\frac{20r}{17r^2} \times 15r^2$

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Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

\newline

\frac{20r}{17r^2} \times 15r^2

Write Problem: Write down the multiplication problem. $\newline$ We are given the expression $\frac{20r}{17r^2} \times 15r^2$ . We need to multiply the numerator by the numerator and the denominator by the denominator.
Multiply Numerators: Multiply the numerators together. $\newline$ Multiplying $20r$ by $15r^2$ gives us $300r^3$ (since $20 \times 15 = 300$ and $r \times r^2 = r^3$ ).
Multiply Denominators: Multiply the denominators together. $\newline$ Since the only term in the denominator is $17r^2$ , we do not need to perform any multiplication for the denominator.
Combine Terms: Combine the numerators and denominators. $\newline$ We now have the expression $\frac{300r^3}{17r^2}$ .
Simplify Expression: Simplify the expression by canceling out common factors. $\newline$ We can cancel out an $r^2$ from the numerator and the denominator, which leaves us with $\frac{300r}{17}.$
Check Further Simplification: Check if the expression can be simplified further. $\newline$ Since $300$ and $17$ have no common factors other than $1$ , and $r$ is not present in the denominator, the expression cannot be simplified further.

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