Question

solve 2 thirds divided by 5 eights

Answer 1

To divide \( \frac{2}{3} \) by \( \frac{5}{8} \), you can multiply \( \frac{2}{3} \) by the reciprocal of \( \frac{5}{8} \). The reciprocal of \( \frac{5}{8} \) is \( \frac{8}{5} \).

So, the calculation becomes:

\[
\frac{2}{3} \div \frac{5}{8} = \frac{2}{3} \times \frac{8}{5}
\]

Now, multiply the numerators and the denominators:

\[
= \frac{2 \times 8}{3 \times 5} = \frac{16}{15}
\]

Thus, \( \frac{2}{3} \div \frac{5}{8} = \frac{16}{15} \).

This fraction can also be represented as a mixed number:

\[
\frac{16}{15} = 1 \frac{1}{15}
\]

So, the final answer is \( \frac{16}{15} \) or \( 1 \frac{1}{15} \).