To order the fractions from lowest to highest, let's carefully compare the given fractions:
[tex]\[
\frac{1}{17}, \frac{1}{19}, \frac{1}{5}, \frac{1}{11}
\][/tex]
1. Comparing [tex]\(\frac{1}{17}\)[/tex] and [tex]\(\frac{1}{19}\)[/tex]:
- Since the denominators are close, the fraction with the larger denominator is smaller. Hence, [tex]\(\frac{1}{19}\)[/tex] is smaller than [tex]\(\frac{1}{17}\)[/tex].
2. Comparing [tex]\(\frac{1}{5}\)[/tex] and [tex]\(\frac{1}{11}\)[/tex]:
- The denominator 5 is less than 11, making [tex]\(\frac{1}{5}\)[/tex] larger than [tex]\(\frac{1}{11}\)[/tex].
3. Comparing [tex]\(\frac{1}{19}\)[/tex] and [tex]\(\frac{1}{11}\)[/tex]:
- The larger denominator indicates the smaller fraction, thus [tex]\(\frac{1}{19}\)[/tex] is smaller than [tex]\(\frac{1}{11}\)[/tex].
4. Comparing [tex]\(\frac{1}{17}\)[/tex] and [tex]\(\frac{1}{11}\)[/tex]:
- Since 17 is greater than 11, [tex]\(\frac{1}{17}\)[/tex] is smaller than [tex]\(\frac{1}{11}\)[/tex].
5. Comparing [tex]\(\frac{1}{17}\)[/tex] and [tex]\(\frac{1}{5}\)[/tex]:
- Comparing these values, [tex]\(\frac{1}{5}\)[/tex] is larger since the denominator 5 is smaller than 17.
Therefore, arranging the given fractions from the lowest to the highest, we have:
- Lowest:
[tex]\[
\frac{1}{19}=0.0526
\][/tex]
- Next lowest:
[tex]\[
\frac{1}{17}=0.0588
\][/tex]
- Next:
[tex]\[
\frac{1}{11}=0.0909
\][/tex]
- Highest:
[tex]\[
\frac{1}{5}=0.2
\][/tex]
Thus, ordering the original fractions from lowest to highest:
[tex]\[
\frac{1}{19}, \frac{1}{17}, \frac{1}{11}, \frac{1}{5}
\][/tex]
