Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

To solve the problem, we need to compare each pair of fractions and determine whether the first fraction is greater than (>), less than (<), or equal to (=) the second fraction. Here's how we can approach each comparison:

Step-by-Step Solution:

#### 1. Compare $\frac{1}{3}$ and $\frac{7}{8}$
- Convert both fractions to have a common denominator (24):
$$
\frac{1}{3} = \frac{8}{24}, \quad \frac{7}{8} = \frac{21}{24}
$$
- Since $\frac{8}{24} < \frac{21}{24}$, we have:
$$
\frac{1}{3} < \frac{7}{8}
$$

#### 2. Compare $\frac{1}{6}$ and $\frac{3}{4}$
- Convert both fractions to have a common denominator (12):
$$
\frac{1}{6} = \frac{2}{12}, \quad \frac{3}{4} = \frac{9}{12}
$$
- Since $\frac{2}{12} < \frac{9}{12}$, we have:
$$
\frac{1}{6} < \frac{3}{4}
$$

#### 3. Compare $\frac{3}{8}$ and $\frac{2}{4}$
- Simplify $\frac{2}{4}$ to $\frac{1}{2}$, then convert both fractions to have a common denominator (8):
$$
\frac{3}{8} = \frac{3}{8}, \quad \frac{1}{2} = \frac{4}{8}
$$
- Since $\frac{3}{8} < \frac{4}{8}$, we have:
$$
\frac{3}{8} < \frac{2}{4}
$$

#### 4. Compare $\frac{4}{5}$ and $\frac{4}{8}$
- Convert both fractions to have a common denominator (40):
$$
\frac{4}{5} = \frac{32}{40}, \quad \frac{4}{8} = \frac{20}{40}
$$
- Since $\frac{32}{40} > \frac{20}{40}$, we have:
$$
\frac{4}{5} > \frac{4}{8}
$$

#### 5. Compare $\frac{1}{4}$ and $\frac{1}{2}$
- Convert both fractions to have a common denominator (4):
$$
\frac{1}{4} = \frac{1}{4}, \quad \frac{1}{2} = \frac{2}{4}
$$
- Since $\frac{1}{4} < \frac{2}{4}$, we have:
$$
\frac{1}{4} < \frac{1}{2}
$$

#### 6. Compare $\frac{1}{6}$ and $\frac{4}{5}$
- Convert both fractions to have a common denominator (30):
$$
\frac{1}{6} = \frac{5}{30}, \quad \frac{4}{5} = \frac{24}{30}
$$
- Since $\frac{5}{30} < \frac{24}{30}$, we have:
$$
\frac{1}{6} < \frac{4}{5}
$$

#### 7. Compare $\frac{1}{2}$ and $\frac{2}{6}$
- Simplify $\frac{2}{6}$ to $\frac{1}{3}$, then convert both fractions to have a common denominator (6):
$$
\frac{1}{2} = \frac{3}{6}, \quad \frac{1}{3} = \frac{2}{6}
$$
- Since $\frac{3}{6} > \frac{2}{6}$, we have:
$$
\frac{1}{2} > \frac{2}{6}
$$

#### 8. Compare $\frac{3}{4}$ and $\frac{2}{6}$
- Simplify $\frac{2}{6}$ to $\frac{1}{3}$, then convert both fractions to have a common denominator (12):
$$
\frac{3}{4} = \frac{9}{12}, \quad \frac{1}{3} = \frac{4}{12}
$$
- Since $\frac{9}{12} > \frac{4}{12}$, we have:
$$
\frac{3}{4} > \frac{2}{6}
$$

#### 9. Compare $\frac{1}{3}$ and $\frac{1}{3}$
- Both fractions are identical:
$$
\frac{1}{3} = \frac{1}{3}
$$

#### 10. Compare $\frac{2}{3}$ and $\frac{2}{4}$
- Simplify $\frac{2}{4}$ to $\frac{1}{2}$, then convert both fractions to have a common denominator (6):
$$
\frac{2}{3} = \frac{4}{6}, \quad \frac{1}{2} = \frac{3}{6}
$$
- Since $\frac{4}{6} > \frac{3}{6}$, we have:
$$
\frac{2}{3} > \frac{2}{4}
$$

#### 11. Compare $\frac{1}{8}$ and $\frac{3}{4}$
- Convert both fractions to have a common denominator (8):
$$
\frac{1}{8} = \frac{1}{8}, \quad \frac{3}{4} = \frac{6}{8}
$$
- Since $\frac{1}{8} < \frac{6}{8}$, we have:
$$
\frac{1}{8} < \frac{3}{4}
$$

#### 12. Compare $\frac{2}{4}$ and $\frac{1}{3}$
- Simplify $\frac{2}{4}$ to $\frac{1}{2}$, then convert both fractions to have a common denominator (6):
$$
\frac{1}{2} = \frac{3}{6}, \quad \frac{1}{3} = \frac{2}{6}
$$
- Since $\frac{3}{6} > \frac{2}{6}$, we have:
$$
\frac{2}{4} > \frac{1}{3}
$$

#### 13. Compare $\frac{1}{6}$ and $\frac{3}{5}$
- Convert both fractions to have a common denominator (30):
$$
\frac{1}{6} = \frac{5}{30}, \quad \frac{3}{5} = \frac{18}{30}
$$
- Since $\frac{5}{30} < \frac{18}{30}$, we have:
$$
\frac{1}{6} < \frac{3}{5}
$$

#### 14. Compare $\frac{5}{8}$ and $\frac{4}{8}$
- Both fractions have the same denominator:
$$
\frac{5}{8} > \frac{4}{8}
$$

#### 15. Compare $\frac{1}{3}$ and $\frac{2}{3}$
- Both fractions have the same denominator:
$$
\frac{1}{3} < \frac{2}{3}
$$

#### 16. Compare $\frac{3}{5}$ and $\frac{1}{2}$
- Convert both fractions to have a common denominator (10):
$$
\frac{3}{5} = \frac{6}{10}, \quad \frac{1}{2} = \frac{5}{10}
$$
- Since $\frac{6}{10} > \frac{5}{10}$, we have:
$$
\frac{3}{5} > \frac{1}{2}
$$

#### 17. Compare $\frac{2}{5}$ and $\frac{2}{3}$
- Convert both fractions to have a common denominator (15):
$$
\frac{2}{5} = \frac{6}{15}, \quad \frac{2}{3} = \frac{10}{15}
$$
- Since $\frac{6}{15} < \frac{10}{15}$, we have:
$$
\frac{2}{5} < \frac{2}{3}
$$

#### 18. Compare $\frac{1}{2}$ and $\frac{5}{6}$
- Convert both fractions to have a common denominator (6):
$$
\frac{1}{2} = \frac{3}{6}, \quad \frac{5}{6} = \frac{5}{6}
$$
- Since $\frac{3}{6} < \frac{5}{6}$, we have:
$$
\frac{1}{2} < \frac{5}{6}
$$

#### 19. Compare $\frac{1}{6}$ and $\frac{2}{5}$
- Convert both fractions to have a common denominator (30):
$$
\frac{1}{6} = \frac{5}{30}, \quad \frac{2}{5} = \frac{12}{30}
$$
- Since $\frac{5}{30} < \frac{12}{30}$, we have:
$$
\frac{1}{6} < \frac{2}{5}
$$

#### 20. Compare $\frac{1}{8}$ and $\frac{1}{2}$
- Convert both fractions to have a common denominator (8):
$$
\frac{1}{8} = \frac{1}{8}, \quad \frac{1}{2} = \frac{4}{8}
$$
- Since $\frac{1}{8} < \frac{4}{8}$, we have:
$$
\frac{1}{8} < \frac{1}{2}
$$

Final Answer:

$$
\boxed{
\begin{array}{ll}
1) & < \\
2) & < \\
3) & < \\
4) & > \\
5) & < \\
6) & < \\
7) & > \\
8) & > \\
9) & = \\
10) & > \\
11) & < \\
12) & > \\
13) & < \\
14) & > \\
15) & < \\
16) & > \\
17) & < \\
18) & < \\
19) & < \\
20) & <
\end{array}
}
$$