What is the result when 1/3 is divided by 7/8, simplified?

To find the result of dividing ( \frac{1}{3} ) by ( \frac{7}{8} ), you can use the rule that states dividing by a fraction is the same as multiplying by its reciprocal. Therefore, the calculation can be set up as follows:

[

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

]

Next, multiply the numerators and the denominators:

[

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

]

Now, the fraction ( \frac{8}{21} ) is already in its simplest form, as there are no common factors between 8 and 21 other than 1. This confirms that the correct result of ( \frac{1}{3} ) divided by ( \frac{7}{8} ), simplified, is indeed ( \frac{8}{21} ).

This choice reflects the proper procedure for dividing fractions and ensuring that the result is simplified correctly.