Multiply. Simplify your answer. 8wx^2/15w^2x * 17w/19w ______

Write Problem: Write down the original problem. We have the expression: (8wx^2)/(15w^2x) * (17w)/(19w).Factor Common Terms: Factor out common terms in the numerators and denominators. In the first fraction, we can factor out a 'w' from the numerator and denominator, and an 'x' from the denominator. In the second fraction, we can cancel out 'w' from the numerator and denominator. (8x)/(15w) * (17)/(19).Multiply Numerators and Denominators: Multiply the numerators and denominators. Multiply the numerators together and the denominators together. (8x * 17) / (15w * 19).Perform Multiplication: Perform the multiplication. Calculate the products of the numerators and denominators. (8 * 17)x / (15 * 19)w.Simplify Expression: Simplify the expression. Calculate the actual products. 136x / 285w.Check Further Simplification: Check if further simplification is possible. There are no common factors between 136 and 285, and 'x' and 'w' are different variables, so no further simplification is possible.

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Algebra 2

Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

\newline

\frac{8wx^2}{15w^2x} \cdot \frac{17w}{19w}

Write Problem: Write down the original problem. $\newline$ We have the expression: $(\frac{8wx^2}{15w^2x}) \cdot (\frac{17w}{19w})$ .
Factor Common Terms: Factor out common terms in the numerators and denominators. $\newline$ In the first fraction, we can factor out a $w$ from the numerator and denominator, and an $x$ from the denominator. In the second fraction, we can cancel out $w$ from the numerator and denominator. $\newline$ $\frac{8x}{15w} * \frac{17}{19}$ .
Multiply Numerators and Denominators: Multiply the numerators and denominators. Multiply the numerators together and the denominators together. $(8x \times 17) / (15w \times 19)$ .
Perform Multiplication: Perform the multiplication. $\newline$ Calculate the products of the numerators and denominators. $\newline$ $(8 \times 17)x / (15 \times 19)w$ .
Simplify Expression: Simplify the expression. Calculate the actual products. $\frac{136x}{285w}$ .
Check Further Simplification: Check if further simplification is possible. $\newline$ There are no common factors between $136$ and $285$ , and ' $x$ ' and ' $w$ ' are different variables, so no further simplification is possible.