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Multiply. Simplify your answer. $\newline$ $\frac{17v^2}{3uv} \times 13uv$

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Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

\newline

\frac{17v^2}{3uv} \times 13uv

Write Multiplication Expression: Write down the multiplication of the two fractions. $\newline$ We have the expression $\frac{17v^2}{3uv} \times 13uv$ . To multiply fractions, we multiply the numerators together and the denominators together.
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ Multiplying the numerators: $17v^2 \times 13uv = 221v^3u$ . $\newline$ Multiplying the denominators: $3uv \times 1 = 3uv$ . $\newline$ So, the expression becomes $\frac{221v^3u}{3uv}$ .
Simplify by Canceling Common Factors: Simplify the expression by canceling common factors. We can cancel a $v$ from the numerator and the denominator, and we can also cancel $u$ . This gives us $\frac{221v^2}{3}.$
Check for Further Simplification: Check for any further simplification. $\newline$ There are no common factors between $221$ and $3$ , and the variable ' $v$ ' is already in its simplest form. $\newline$ So, the expression is fully simplified.

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