You have two choices: the easiest is to turn every fraction to its numerical equivalent:
[tex] -\dfrac{9}{10}=-0.9,\ \ -\dfrac{3}{7}\approx -0.42857,\ \ -\dfrac{3}{4}=-0.75,\ \ -\dfrac{6}{5} = -1.2, -\dfrac{4}{3}\approx -1.33 [/tex]
Now, remember that negative numbers are ordered in the opposite way with respect to positive numbers (for example, 4 is larger than 2, but -4 is smaller than -2). So, the order is
[tex] -\dfrac{4}{3} < -\dfrac{6}{5} < -\dfrac{9}{10} < -\dfrac{3}{4} < -\dfrac{3}{7}[/tex]
Alternatively, you can convert all the fractions so that they have the same denominator. In this case, you will need the least common multiple of 10, 7, 4, 5 and 3, which is 420. Once you do so, you can easily order the fractions using numerators only.
