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

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

• A. 28/39
• B. 21/39
• C. 4/39
• D. 49/39

Answer: (A)

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

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