Question

find the quotient
3/5 divided by 2/3

Answer 1

To find the quotient of \( \frac{3}{5} \) divided by \( \frac{2}{3} \), you can multiply \( \frac{3}{5} \) by the reciprocal of \( \frac{2}{3} \).

The reciprocal of \( \frac{2}{3} \) is \( \frac{3}{2} \).

So, the calculation is:

\[
\frac{3}{5} \div \frac{2}{3} = \frac{3}{5} \times \frac{3}{2}
\]

Now, multiply the numerators and the denominators:

\[
\frac{3 \times 3}{5 \times 2} = \frac{9}{10}
\]

Thus, the quotient \( \frac{3}{5} \div \frac{2}{3} \) is \( \frac{9}{10} \).