Multiply Numerators and Denominators: Multiply the numerators together and the denominators together. (5/3) × (-6/7) = (5 × -6) / (3 × 7)Calculate Products: Calculate the product of the numerators and the product of the denominators. 5 × -6 = -30, and 3 × 7 = 21Write Final Fraction: Write the final fraction. -30/21Simplify Fraction with GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. GCD of -30 and 21 is 3.Divide by GCD to Simplify: Divide both the numerator and the denominator by the GCD to simplify the fraction. (-30 ÷ 3) / (21 ÷ 3) = -10/7

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$\frac{5}{3} \times\left(-\frac{6}{7}\right)$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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\frac{5}{3} \times\left(-\frac{6}{7}\right)

Multiply Numerators and Denominators: Multiply the numerators together and the denominators together. $\newline$ $(\frac{5}{3}) \times (\frac{-6}{7}) = (\frac{5 \times -6}{3 \times 7})$
Calculate Products: Calculate the product of the numerators and the product of the denominators. $5 \times -6 = -30$ , and $3 \times 7 = 21$
Write Final Fraction: Write the final fraction. $\newline$ $-\frac{30}{21}$
Simplify Fraction with GCD: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. $\newline$ GCD of $-30$ and $21$ is $3$ .
Divide by GCD to Simplify: Divide both the numerator and the denominator by the GCD to simplify the fraction. $\frac{-30 \div 3}{21 \div 3} = \frac{-10}{7}$