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Final answer:Tomultiply fractions, multiply the numerators together and the denominators together. Then, simplify the resulting fraction.Explanation:To multiply fractions, we multiply the numerators together and multiply the denominators together. So, multiplying 5/6 by 2/9 gives us (5 x 2) / (6 x 9). This simplifies to 10/54.Next, we can simplify this fraction by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 10 and 54 is 2. Dividing both the numerator and denominator by 2 gives us a simplified fraction of 5/27.Learn more about Multiplying fractions here:brainly.com/question/11820359#SPJ11...