[tex] \frac{ -7 }{24} and \: \frac{9}{ - 20} [/tex]
-20 should be positive.
[tex] \frac{9 \times ( - 1)}{ - 20 \times( - 1) } = \frac{ - 9}{20} [/tex]
So we already turned -20 to positive.
Now let's find the LCM of the following denominators.
The LCM of 24 and 20 is 120.
24 x 5 = 120 and 20 x 6 = 120.
[tex] \frac{ - 7 \times 5}{24 \times 5} = \frac{ - 35}{120} [/tex]
[tex] \frac{ - 9 \times 6}{20 \times 6} = \frac{ - 54}{120} [/tex]
So as we can see, -35/120 is less than -54/120.
Hence, -7/24 < 9/-20.
