Divide. Write your answer in simplest form.

Question

4/5 divided by 6/7

Answer 1

To divide fractions, you can multiply by the reciprocal of the second fraction. So for the expression \( \frac{4}{5} \div \frac{6}{7} \), you can rewrite it as:

\[ \frac{4}{5} \times \frac{7}{6} \]

Next, multiply the numerators and the denominators:

\[ \frac{4 \times 7}{5 \times 6} = \frac{28}{30} \]

Now, simplify \( \frac{28}{30} \) by finding the greatest common divisor (GCD) of 28 and 30, which is 2:

\[ \frac{28 \div 2}{30 \div 2} = \frac{14}{15} \]

Thus, the answer in simplest form is:

\[ \frac{14}{15} \]