What is the result of dividing 5/6 by 2/3?

Study for the Pharmacy Technician Certification Board Math Exam. Prepare with flashcards and multiple choice questions, each question includes hints and explanations. Excel in your exam!

To find the result of dividing the fraction 5/6 by the fraction 2/3, you first need to understand how to divide fractions. When dividing one fraction by another, you multiply the first fraction by the reciprocal of the second fraction.

In this case, the reciprocal of 2/3 is 3/2. So, you multiply 5/6 by 3/2:

(5/6) * (3/2) = (5 * 3) / (6 * 2) = 15 / 12.

This fraction can be simplified, as both the numerator and the denominator can be divided by 3:

15 ÷ 3 = 5 and 12 ÷ 3 = 4, resulting in 5/4.

Thus, the final answer is indeed 5/4. This calculation illustrates the proper method of dividing fractions, highlighting the importance of using the reciprocal and performing multiplication correctly.

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