2/5 divided by 3/4

Answer 1

To divide the fraction \( \frac{2}{5} \) by \( \frac{3}{4} \), you can multiply \( \frac{2}{5} \) by the reciprocal of \( \frac{3}{4} \).

The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).

Now, perform the multiplication:

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

Multiply the numerators and the denominators:

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

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