What is the result of dividing 1/3 by 7/8?

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 solve the problem of dividing ( \frac{1}{3} ) by ( \frac{7}{8} ), you can multiply ( \frac{1}{3} ) by the reciprocal of ( \frac{7}{8} ). The reciprocal of ( \frac{7}{8} ) is ( \frac{8}{7} ).

So, the operation becomes:

[

\frac{1}{3} \div \frac{7}{8} = \frac{1}{3} \times \frac{8}{7}

]

Next, multiply the numerators together and the denominators together:

[

\frac{1 \times 8}{3 \times 7} = \frac{8}{21}

]

Thus, the result of dividing ( \frac{1}{3} ) by ( \frac{7}{8} ) is ( \frac{8}{21} ). This is why this option is correct. It matches the outcome of the mathematical operation performed, demonstrating a clear understanding of how to handle the division of fractions.

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