Question

graph \\(\frac{1}{10}\\), \\(\frac{1}{2}\\), and \\(\frac{1}{5}\\) on the number line.
\\(\leftarrow\\) \\(\frac{}{0}\\) \\(\frac{}{\frac{1}{10}}\\) \\(\frac{}{\frac{2}{10}}\\) \\(\frac{}{\frac{3}{10}}\\) \\(\frac{}{\frac{4}{10}}\\) \\(\frac{}{\frac{5}{10}}\\) \\(\frac{}{\frac{6}{10}}\\) \\(\frac{}{\frac{7}{10}}\\) \\(\frac{}{\frac{8}{10}}\\) \\(\frac{}{\frac{9}{10}}\\) \\(\frac{}{1}\\) \\(\
ightarrow\\)
put the fractions in order from greatest to least.
\\(\frac{1}{10}\\) \\(\frac{1}{5}\\) \\(\frac{1}{2}\\)

Explanation:

Step1: Convert to tenths

Convert \(\frac{1}{2}\) to tenths: \(\frac{1}{2}=\frac{5}{10}\).
Convert \(\frac{1}{5}\) to tenths: \(\frac{1}{5}=\frac{2}{10}\).
\(\frac{1}{10}\) remains \(\frac{1}{10}\).

Step2: Compare numerators

For fractions with denominator 10, larger numerator means larger fraction.
\(5 > 2 > 1\), so \(\frac{5}{10} > \frac{2}{10} > \frac{1}{10}\).

Step3: Substitute back

Substitute original fractions: \(\frac{1}{2} > \frac{1}{5} > \frac{1}{10}\).

Answer:

\(\frac{1}{2}\), \(\frac{1}{5}\), \(\frac{1}{10}\)