-1/19, 7/4, -4/7 in order from least to greatest?

A mystery, a real mystery ...... unless you study fractions.

Get a common denominator: 19 * 4 * 7 => 19 * 28 => 19 * (30 - 2) = 570 - 38 => 532

Convert the fractions:

-1/19 => -1 * 4 * 7 / (19 * 4 * 7) = -28 / 532

7/4 => 7 * 7 * 19 / (19 * 4 * 7) = 931 / 532

-4/7 = -4 * 4 * 19 / (19 * 4 * 7) = -304 / 532

Arrange from least to greatest (just look at the numerators and order them)

-304 / 532 , -28 / 532 , 931 / 532

-4/7 , -1/19 , 7/4

You could convert these to decimals and order them.

A quick way is to pick an almost Lowest Common Denominator like 20

So you end up with -1/20, 35/20 and -12/20

Looks like -4/7, -1/19 and 7/4

Works as long as the numbers aren't too close

-4/7 then -1/19 then 7/4

-4/7, -1/19, 7/4

Remember this:

x and y axis

-2 -1 0 1 2

The higher the negative number the smallest its value for example -29 is smaller compared to -2.

- 1/19 (least)

- 4/7,

7/4 (greatest).

Given that the common denominator is so large, I would just convert all the fractions to decimal numbers.