How do you list the fractions from least to greatest: 12/8, 3/12, 20/16, 6/8, 1/2?

Oct 28, 2016

The order from least to greatest is $\left\{\frac{3}{12} , \frac{1}{2} , \frac{6}{8} , \frac{20}{16} , \frac{12}{8}\right\}$

Explanation:

For ordering a given set of real numbers from say least to greatest, it is preferable to write all the numbers up to a reasonable number of decimal places for comparing them, let us say three here.

Then $\frac{12}{8} = 1.500$
$\textcolor{w h i t e}{X X X} \frac{3}{12} = 0.250$
$\textcolor{w h i t e}{X X X} \frac{20}{16} = 1.250$
$\textcolor{w h i t e}{X x X X} \frac{6}{8} = 0.750$
$\textcolor{w h i t e}{X x X X} \frac{1}{2} = 0.500$

Hence the order from least to greatest is $\left\{\frac{3}{12} , \frac{1}{2} , \frac{6}{8} , \frac{20}{16} , \frac{12}{8}\right\}$