what is 4/5 divded by 1/3

1 answer

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

So, to divide \( \frac{4}{5} \) by \( \frac{1}{3} \):

\[ \frac{4}{5} \div \frac{1}{3} = \frac{4}{5} \times \frac{3}{1} \]

Now, multiply the numerators and the denominators:

\[ \frac{4 \times 3}{5 \times 1} = \frac{12}{5} \]

So, \( \frac{4}{5} \div \frac{1}{3} = \frac{12}{5} \) or \( 2 \frac{2}{5} \) as a mixed number.