Divide the following

Explanation

We will multiply the first fraction, \(\frac13\), by the reciprocal of the second fraction, \(\frac45\).  Then, if possible, we will simplify the result.

• Multiply \(\frac13\) by the reciprocal of \(\frac45\), which is \(\frac54\)
  • \( \frac13 \color{red} {÷ \frac45} = \frac13 \color{red}{ \cdot \frac54}\)
• Multiply the numerators.  Multiply the denominators
  • \(\frac{1 \cdot 5}{3 \cdot 4} = \frac{5}{12}\)  

Since 5 and 12 have no common factors other than 1, the result is in the simplest form.