\(\displaystyle \frac{2}{4}>\frac{2}{10}\)

If you look at the images, both circles have \(\displaystyle 2\) shaded regions; however, the circle that was divided into \(\displaystyle 4\) parts has bigger shaded regions than the circle that was divided into \(\displaystyle 10\) parts.

Using this information, you can see that the circle divided into \(\displaystyle 4\) parts possesses a larger shaded region; therefore,

 \(\displaystyle \frac{2}{4}>\frac{2}{10}\)

\(\displaystyle \frac{3}{12}< \frac{3}{8}\)

If you look at the images, both circles have \(\displaystyle 3\) shaded regions; however, the circle that was divided into \(\displaystyle 12\) parts has smaller shaded regions than the circle that was divided into \(\displaystyle 8\) parts.

Using this information, you can see that the circle divided into \(\displaystyle 12\) parts possesses a smaller shaded region; therefore,

 \(\displaystyle \frac{3}{12}< \frac{3}{8}\)

\(\displaystyle \frac{5}{6}>\frac{5}{12}\)

If you look at the images, both circles have \(\displaystyle 5\) shaded regions; however, the circle that was divided into \(\displaystyle 6\) parts has bigger shaded regions than the circle that was divided into \(\displaystyle 12\) parts.

Using this information, you can see that the circle divided into \(\displaystyle 6\) parts possesses a larger shaded region; therefore,

 \(\displaystyle \frac{5}{6}>\frac{5}{12}\)

\(\displaystyle \frac{4}{8}< \frac{4}{5}\)

If you look at the images, both circles have \(\displaystyle 4\) shaded regions; however, the circle that was divided into \(\displaystyle 8\) parts has smaller shaded regions than the circle that was divided into \(\displaystyle 5\) parts.

Using this information, you can see that the circle divided into \(\displaystyle 8\) parts possesses a smaller shaded region; therefore,

 \(\displaystyle \frac{4}{8}< \frac{4}{5}\)

\(\displaystyle \frac{1}{6}>\frac{1}{10}\)

If you look at the images, both circles have \(\displaystyle 1\) shaded region; however, the circle that was divided into \(\displaystyle 6\) parts has bigger shaded regions than the circle that was divided into \(\displaystyle 10\) parts.

Using this information, you can see that the circle divided into \(\displaystyle 6\) parts possesses a larger shaded region; therefore,

 \(\displaystyle \frac{1}{6}>\frac{1}{10}\)

\(\displaystyle \frac{6}{10}< \frac{6}{8}\)

If you look at the images, both circles have \(\displaystyle 6\) shaded regions; however, the circle that was divided into \(\displaystyle 10\) parts has smaller shaded regions than the circle that was divided into \(\displaystyle 8\) parts.

Using this information, you can see that the circle divided into \(\displaystyle 10\) parts possesses a smaller shaded region; therefore,

 \(\displaystyle \frac{6}{10}< \frac{6}{8}\)

\(\displaystyle \frac{7}{12}< \frac{7}{8}\)

If you look at the images, both circles have \(\displaystyle 7\) shaded regions; however, the circle that was divided into \(\displaystyle 12\) parts has smaller shaded regions than the circle that was divided into \(\displaystyle 8\) parts.

Using this information, you can see that the circle divided into \(\displaystyle 12\) parts possesses a smaller shaded region; therefore,

 \(\displaystyle \frac{7}{12}< \frac{7}{8}\)

\(\displaystyle \frac{8}{9}>\frac{8}{12}\)

If you look at the images, both circles have \(\displaystyle 8\) shaded regions; however, the circle that was divided into \(\displaystyle 9\) parts has bigger shaded regions than the circle that was divided into \(\displaystyle 12\) parts.

Using this information, you can see that the circle divided into \(\displaystyle 9\) parts possesses a larger shaded region; therefore,

 \(\displaystyle \frac{8}{9}>\frac{8}{12}\)