What is the result of (7/13) / (3/4)?

To find the result of dividing two fractions, you multiply the first fraction by the reciprocal of the second fraction. In this case, the first fraction is ( \frac{7}{13} ) and the second fraction is ( \frac{3}{4} ).

First, we take the reciprocal of ( \frac{3}{4} ), which is ( \frac{4}{3} ). Now the operation becomes:

[ \frac{7}{13} \times \frac{4}{3} ]

Next, we multiply the numerators together and the denominators together:

[ \text{Numerator: } 7 \times 4 = 28 ] [ \text{Denominator: } 13 \times 3 = 39 ]

Thus, we have:

[ \frac{28}{39} ]

This fraction is in its simplest form because 28 and 39 share no common factors (other than 1). Therefore, the result of ( (7/13) / (3/4) ) is indeed ( \frac{28}{39} ), which matches the answer provided.

This confirms that the chosen answer is correct