Answer
$\displaystyle \frac{2}{5}$
Work Step by Step
Reducing a Fraction to Its Lowest Terms
1. Write the prime factorizations of the numerator and the denominator.
2. Divide the numerator and the denominator by the greatest common factor, the product of all factors common to both. ---
$\begin{array}{llll}
32 & =2\times 16 & 80 & =2\times 40\\
& =2\times 2\times 8 & & =2\times 2\times 20\\
& =2\times 2\times 2\times 4 & & =2\times 2\times 2\times 10\\
& =2\times 2\times 2\times 2\times 2 & & =2\times 2\times 2\times 2\times 5\\
& & & \\
GCF & =2\times 2\times 2\times 2 & & \\
& =16 & &
\end{array}$
$\displaystyle \frac{32}{80}=\frac{32\div 16}{80\div 16}=\frac{2}{5}$
