What is StartFraction 4 Over 5 EndFraction divided by one-third

Question

A fraction bar. The top bar is labeled 1. 3 bars underneath the bar are labeled one-third. 5 bars underneath the 4 bars are labeled one-fifth. 15 bars underneath the 5 bars are labeled StartFraction 1 Over 15 EndFraction.

The quotient is 2 and
.

Answer 1

To solve \(\frac{4}{5}\) divided by \(\frac{1}{3}\), we can multiply by the reciprocal of the second fraction.

This means we need to calculate:

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

Now, multiplying the fractions:

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

Thus, \(\frac{4}{5} \div \frac{1}{3} = \frac{12}{5}\).

In mixed number form, \(\frac{12}{5}\) is equal to \(2\) and \(\frac{2}{5}\).

So, the final answer is:

\[ 2 \frac{2}{5} \]