Question

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

Answer 1

The order from least to greatest is `{3/12,1/2,6/8,20/16,12/8}`

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 `12/8=1.500`
`color(white)(XXX)3/12=0.250`
`color(white)(XXX)20/16=1.250`
`color(white)(XxXX)6/8=0.750`
`color(white)(XxXX)1/2=0.500`

Hence the order from least to greatest is `{3/12,1/2,6/8,20/16,12/8}`