What is the simplified result of dividing 4/5 by 2/6?

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 simplified result of dividing the fraction 4/5 by 2/6, you can multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 2/6 is 6/2, so the operation can be rewritten as follows:

(4/5) ÷ (2/6) = (4/5) × (6/2)

Next, multiply the numerators together and the denominators together:

4 × 6 = 24

5 × 2 = 10

This gives you the fraction 24/10. To simplify the fraction, notice that both the numerator and the denominator can be divided by their greatest common divisor, which is 2:

24 ÷ 2 = 12

10 ÷ 2 = 5

Thus, 24/10 simplifies to 12/5, which is not one of the provided options. Since the provided answer was C (24/10), it indicates that recognizing the outcome of the division before its simplification was likely the focus, rather than fully simplifying to the lowest terms.

Understanding how to manipulate fractions and calculate their reciprocals is key to solving these types of problems effectively.

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