5 / 2/3

1 answer

To divide by a fraction, you multiply by its reciprocal.

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

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

Now, calculate:

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

Thus, \( 5 \div \frac{2}{3} = \frac{15}{2} \) or as a mixed number, it can be expressed as \( 7 \frac{1}{2} \).