How do you multiply (7x)/(5x+15)*(x+3)/(8)? Algebra Rational Equations and Functions Multiplication of Rational Expressions 1 Answer KillerBunny Jun 6, 2018 \frac{7x}{40} Explanation: Observe that you can factor a 5 from the denominator of the first fraction: 5x+15 = 5(x+3). Rewriting that fraction with this factorization and cross-simplifying, you have \frac{7x}{5\cancel((x+3))}*\frac{cancel(x+3)}{8} = \frac{7x}{5*8} = \frac{7x}{40} Answer link Related questions What is Multiplication of Rational Expressions? How do you multiplying rational expressions? Is multiplication of rational expressions commutative? How do you multiply \frac{12x^2-x-6}{x^2-1} \cdot \frac{x^2+7x+6}{4x^2-27x+18}? How do you multiply and simplify to the lowest terms \frac{x^3}{2y^3} \cdot \frac{2y^2}{x}? How do you multiply \frac{5x^2+16x+3}{36x^2-25} \cdot (6x^2+5x)? How do you multiply and simplify the expression 2xy \cdot \frac{2y^2}{x^3}? How do you multiply (a^2-a-12)/(a^2-5a+4)*(a^2+2a-3)/(a^2+a-6)? How do you multiply (4(x+2))/(5x)*(6x^2)/(2x)? How do you multiply (30a^2)/(18b)*(6b)/(5a)? See all questions in Multiplication of Rational Expressions Impact of this question 1877 views around the world You can reuse this answer Creative Commons License