Order the fractions from least to greatest: $$ \frac{4}{3}, \frac{2}{6}, \frac{3}{6}, \frac{4}{5}, 1 \frac{2}{3^{\prime}}, \frac{1}{6} $$

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To order the fractions from least to greatest, we first need to convert all fractions to a common format, preferably improper fractions or decimals. Let's convert each fraction:

1. $$ \frac{4}{3} $$ is already in fraction form.
2. $$ \frac{2}{6} = \frac{1}{3} $$.
3. $$ \frac{3}{6} = \frac{1}{2} $$.
4. $$ \frac{4}{5} $$ is already in fraction form.
5. $$ 1 \frac{2}{3} = 1 + \frac{2}{3} = \frac{3}{3} + \frac{2}{3} = \frac{5}{3} $$.
6. $$ \frac{1}{6} $$ is already in fraction form.

Now we have the following fractions to compare:
- $$ \frac{4}{3} $$
- $$ \frac{1}{3} $$
- $$ \frac{1}{2} $$
- $$ \frac{4}{5} $$
- $$ \frac{5}{3} $$
- $$ \frac{1}{6} $$

Next, we will convert these fractions to decimal form for easier comparison:
1. $$ \frac{4}{3} \approx 1.33 $$
2. $$ \frac{1}{3} \approx 0.33 $$
3. $$ \frac{1}{2} = 0.5 $$
4. $$ \frac{4}{5} = 0.8 $$
5. $$ \frac{5}{3} \approx 1.67 $$
6. $$ \frac{1}{6} \approx 0.1667 $$

Now we can order these decimal values:
- $$ \frac{1}{6} \approx 0.1667 $$
- $$ \frac{1}{3} \approx 0.33 $$
- $$ \frac{1}{2} = 0.5 $$
- $$ \frac{4}{5} = 0.8 $$
- $$ \frac{4}{3} \approx 1.33 $$
- $$ \frac{5}{3} \approx 1.67 $$

Thus, the order from least to greatest is:
$$
\frac{1}{6}, \frac{1}{3}, \frac{1}{2}, \frac{4}{5}, \frac{4}{3}, \frac{5}{3}
$$
The fractions ordered from least to greatest are: $$ \frac{1}{6}, \frac{1}{3}, \frac{1}{2}, \frac{4}{5}, \frac{4}{3}, \frac{5}{3} $$

Order the fractions from least to greatest: \( \frac{4}{3}, \frac{2}{6}, \frac{3}{6}, \frac{4}{5}, 1 \frac{2}{3^{\prime}}, \frac{1}{6} \)

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