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Final answer:To find the value of 4/15 divided by 2/3, we multiply 4/15 by the reciprocal of 2/3, which is 3/2. The simplified value of this division is 2/5.Explanation:To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, to find the value of4/15 divided by 2/3, we multiply 4/15 by the reciprocal of 2/3, which is 3/2.When we multiply 4/15 by 3/2, we get(4/15) * (3/2) = (4 * 3) / (15 * 2) = 12/30.12/30 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 6. So, the simplified value of4/15 divided by 2/3is2/5.Learn more about Dividing Fractions here:brainly.com/question/18511795#SPJ2...

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