4/3 divided by 5/2

1 answer

To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction.

So, to divide \( \frac{4}{3} \) by \( \frac{5}{2} \), you can rewrite it as:

\[ \frac{4}{3} \div \frac{5}{2} = \frac{4}{3} \times \frac{2}{5} \]

Now, multiply the numerators and the denominators:

\[ = \frac{4 \times 2}{3 \times 5} = \frac{8}{15} \]

Thus, \( \frac{4}{3} \div \frac{5}{2} = \frac{8}{15} \).