Question

less than \\(\frac{1}{2}\\) greater than \\(\frac{1}{2}\\) \\(\frac{1}{4}\\) \\(\frac{2}{4}\\) \\(\frac{3}{4}\\) \\(\frac{3}{5}\\) \\(\frac{1}{5}\\) \\(\frac{2}{5}\\) \\(\frac{4}{5}\\) \\(\frac{5}{6}\\) \\(\frac{1}{6}\\) \\(\frac{2}{6}\\) \\(\frac{3}{6}\\) \\(\frac{4}{6}\\) \\(\frac{2}{8}\\) \\(\frac{1}{8}\\) \\(\frac{3}{8}\\) \\(\frac{4}{8}\\) \\(\frac{5}{8}\\) \\(\frac{6}{8}\\) \\(\frac{7}{8}\\)

Explanation:

Step1: Compare $\frac{1}{4}$ with $\frac{1}{2}$

To compare, find a common denominator. The common denominator of 4 and 2 is 4. $\frac{1}{2}=\frac{2}{4}$. Since $\frac{1}{4}<\frac{2}{4}$, $\frac{1}{4}$ is less than $\frac{1}{2}$.

Step2: Compare $\frac{3}{5}$ with $\frac{1}{2}$

Common denominator of 5 and 2 is 10. $\frac{3}{5}=\frac{6}{10}$, $\frac{1}{2}=\frac{5}{10}$. Since $\frac{6}{10}>\frac{5}{10}$, $\frac{3}{5}$ is greater than $\frac{1}{2}$.

Step3: Compare $\frac{5}{6}$ with $\frac{1}{2}$

Common denominator of 6 and 2 is 6. $\frac{1}{2}=\frac{3}{6}$. Since $\frac{5}{6}>\frac{3}{6}$, $\frac{5}{6}$ is greater than $\frac{1}{2}$.

Step4: Compare $\frac{2}{8}$ with $\frac{1}{2}$

Simplify $\frac{2}{8}=\frac{1}{4}$. $\frac{1}{2}=\frac{2}{4}$. Since $\frac{1}{4}<\frac{2}{4}$, $\frac{2}{8}$ (or $\frac{1}{4}$) is less than $\frac{1}{2}$.

Answer:

• Less than $\frac{1}{2}$: $\frac{1}{4}$, $\frac{2}{8}$ (or $\frac{1}{4}$)
• Greater than $\frac{1}{2}$: $\frac{3}{5}$, $\frac{5}{6}$