Convert the fractions so that they share the same denominator. Then, compare their numerators to put them in order from least to greatest.

$\displaystyle \frac{1}{18}\cdot \frac{2}{2}=\frac{2}{36}$

$\displaystyle \frac{1}{6}\cdot \frac{6}{6}=\frac{6}{36}$

$\displaystyle \frac{2}{9}\cdot \frac{4}{4}=\frac{8}{36}$

$\displaystyle \frac{1}{3}\cdot \frac{12}{12}=\frac{12}{36}$

$\displaystyle \frac{1}{18}, \frac{1}{6}, \frac{2}{9}, \frac{1}{3}$ is in order from least to greatest.

Convert the fractions so that they all share the same denominator. Then, compare their numerators to put them in order from greatest to least.

$\displaystyle \frac{9}{10}\cdot \frac{10}{10}=\frac{90}{100}$

$\displaystyle \frac{18}{25}\cdot \frac{4}{4}=\frac{72}{100}$

$\displaystyle \frac{7}{20}\cdot \frac{5}{5}=\frac{35}{100}$

$\displaystyle \frac{1}{5}\cdot \frac{20}{20}=\frac{20}{100}$

$\displaystyle \frac{9}{10}, \frac{18}{25}, \frac{7}{20}, \frac{1}{5}$ is in order from greatest to least.

Convert the fractions so that they same the same denominator. Then, compare the numerators of the fractions to put them in order from least to greatest.

$\displaystyle \frac{1}{8}\cdot \frac{9}{9}=\frac{9}{72}$

$\displaystyle \frac{1}{6}\cdot \frac{12}{12}=\frac{12}{72}$

$\displaystyle \frac{8}{9}\cdot \frac{8}{8}=\frac{64}{72}$

$\displaystyle \frac{35}{36}\cdot \frac{2}{2}=\frac{70}{72}$

$\displaystyle \frac{1}{8}, \frac{1}{6}, \frac{8}{9}, \frac{35}{36}$ is in order from least to greatest.

Convert the fractions so that they share the same denominator. Then, compare their numerators in order to put them from greatest to least.

$\displaystyle \frac{7}{8}\cdot \frac{10}{10}=\frac{70}{80}$

$\displaystyle \frac{3}{4}\cdot \frac{20}{20}=\frac{60}{80}$

$\displaystyle \frac{13}{20}\cdot \frac{4}{4}=\frac{52}{80}$

$\displaystyle \frac{3}{20}\cdot \frac{4}{4}=\frac{12}{80}$

$\displaystyle \frac{7}{8}, \frac{3}{4}, \frac{13}{20}, \frac{3}{20}$ is in order from greatest to least.

Convert the fractions so that they share the same denominator. Then, compare their numerators to order them from greatest to least.

$\displaystyle \frac{13}{25}\cdot \frac{2}{2}=\frac{26}{50}$

$\displaystyle \frac{3}{10}\cdot \frac{5}{5}=\frac{15}{50}$

$\displaystyle \frac{1}{5}\cdot \frac{10}{10}=\frac{10}{50}$

$\displaystyle \frac{1}{25}\cdot \frac{2}{2}=\frac{2}{50}$

$\displaystyle \frac{13}{25}, \frac{3}{10}, \frac{1}{5}, \frac{1}{25}$ is in order from greatest to least.

Convert the fractions so that they share the same denominator. Then, compare their numerators in order to put them from greatest to least.

$\displaystyle \frac{5}{6}\cdot \frac{4}{4}=\frac{20}{24}$

$\displaystyle \frac{3}{4}\cdot \frac{6}{6}=\frac{18}{24}$

$\displaystyle \frac{5}{24}$ stays the same.

$\displaystyle \frac{1}{12}\cdot \frac{2}{2}=\frac{2}{24}$

$\displaystyle \frac{5}{6}, \frac{3}{4}, \frac{5}{24}, \frac{1}{12}$ is in order from greatest to least.

Convert the fractions so that they share the same denominator. Then, compare their numerators to put them in order from greatest to least.

$\displaystyle \frac{2}{3}\cdot \frac{10}{10}=\frac{20}{30}$

$\displaystyle \frac{3}{5}\cdot \frac{6}{6}=\frac{18}{30}$

$\displaystyle \frac{3}{10}\cdot \frac{3}{3}=\frac{9}{30}$

$\displaystyle \frac{1}{6}\cdot \frac{5}{5}=\frac{5}{30}$

$\displaystyle \frac{2}{3}, \frac{3}{5}, \frac{3}{10}, \frac{1}{6}$ is in order from greatest to least.

To determine the correct order from least to greatest, convert all three fractions to a common denominator.

The least common denominator, LCD, can be determined by multiplying the three denominators together. 

$\displaystyle 3\times11\times7 = 231$

Convert the set by multiplying to the numerator by what was multiplied to the denominator to achieve the LCD.

$\displaystyle \left(\frac{2}{3}. \frac{6}{11},\frac{4}{7} \right )= \left( \frac{154}{231},\frac{126}{231},\frac{132}{231}\right )$

Reorder the set.  The correct order from least to greatest is:

$\displaystyle \left( \frac{126}{231},\frac{132}{231},\frac{154}{231}\right ) =\left( \frac{6}{11},\frac{4}{7},\frac{2}{3}\right )$

To compare fractions, we need to first make common denominators. 

$\displaystyle \frac{1}{2}\times\frac{4}{4}=\frac{4}{8}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value. 

$\displaystyle \frac{4}{8}>\frac{1}{8}$

To compare fractions, we need to first make common denominators. 

$\displaystyle \frac{3}{4}\times\frac{2}{2}=\frac{6}{8}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value. 

$\displaystyle \frac{6}{8}< \frac{7}{8}$