Question

Divide. Write your answer in simplest form.
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:

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