4th Grade Fractions Worksheets - Math Monks - Free Printable

Problem: Comparing and Adding Fractions

#### Part 1: Comparing Fractions
We need to compare each pair of fractions using the symbols `=`, `<`, or `>`.

1. $\frac{5}{8} \quad \square \quad \frac{3}{8}$
- Both fractions have the same denominator (8).
- Compare the numerators: $5 > 3$.
- Therefore, $\frac{5}{8} > \frac{3}{8}$.

2. $\frac{3}{5} \quad \square \quad \frac{1}{5}$
- Both fractions have the same denominator (5).
- Compare the numerators: $3 > 1$.
- Therefore, $\frac{3}{5} > \frac{1}{5}$.

3. $\frac{4}{9} \quad \square \quad \frac{7}{9}$
- Both fractions have the same denominator (9).
- Compare the numerators: $4 < 7$.
- Therefore, $\frac{4}{9} < \frac{7}{9}$.

4. $\frac{1}{3} \quad \square \quad \frac{2}{6}$
- Simplify $\frac{2}{6}$: $\frac{2}{6} = \frac{1}{3}$.
- Both fractions are equal.
- Therefore, $\frac{1}{3} = \frac{2}{6}$.

5. $\frac{2}{4} \quad \square \quad \frac{3}{6}$
- Simplify $\frac{2}{4}$: $\frac{2}{4} = \frac{1}{2}$.
- Simplify $\frac{3}{6}$: $\frac{3}{6} = \frac{1}{2}$.
- Both fractions are equal.
- Therefore, $\frac{2}{4} = \frac{3}{6}$.

6. $\frac{7}{9} \quad \square \quad \frac{2}{9}$
- Both fractions have the same denominator (9).
- Compare the numerators: $7 > 2$.
- Therefore, $\frac{7}{9} > \frac{2}{9}$.

#### Final Answers for Comparing Fractions:
1. $\frac{5}{8} > \frac{3}{8}$
2. $\frac{3}{5} > \frac{1}{5}$
3. $\frac{4}{9} < \frac{7}{9}$
4. $\frac{1}{3} = \frac{2}{6}$
5. $\frac{2}{4} = \frac{3}{6}$
6. $\frac{7}{9} > \frac{2}{9}$

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#### Part 2: Adding Fractions
We need to add the given pairs of fractions.

1. $\frac{2}{4} + \frac{1}{4}$
- Both fractions have the same denominator (4).
- Add the numerators: $2 + 1 = 3$.
- The sum is $\frac{3}{4}$.

2. $\frac{4}{7} + \frac{2}{7}$
- Both fractions have the same denominator (7).
- Add the numerators: $4 + 2 = 6$.
- The sum is $\frac{6}{7}$.

3. $\frac{2}{9} + \frac{6}{9}$
- Both fractions have the same denominator (9).
- Add the numerators: $2 + 6 = 8$.
- The sum is $\frac{8}{9}$.

4. $\frac{3}{5} + \frac{1}{5}$
- Both fractions have the same denominator (5).
- Add the numerators: $3 + 1 = 4$.
- The sum is $\frac{4}{5}$.

5. $\frac{1}{6} + \frac{4}{6}$
- Both fractions have the same denominator (6).
- Add the numerators: $1 + 4 = 5$.
- The sum is $\frac{5}{6}$.

6. $\frac{4}{9} + \frac{3}{9}$
- Both fractions have the same denominator (9).
- Add the numerators: $4 + 3 = 7$.
- The sum is $\frac{7}{9}$.

#### Final Answers for Adding Fractions:
1. $\frac{2}{4} + \frac{1}{4} = \frac{3}{4}$
2. $\frac{4}{7} + \frac{2}{7} = \frac{6}{7}$
3. $\frac{2}{9} + \frac{6}{9} = \frac{8}{9}$
4. $\frac{3}{5} + \frac{1}{5} = \frac{4}{5}$
5. $\frac{1}{6} + \frac{4}{6} = \frac{5}{6}$
6. $\frac{4}{9} + \frac{3}{9} = \frac{7}{9}$

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Final Answer:

$$
\boxed{
\begin{array}{ll}
\text{Comparing Fractions:} & \\
1. \frac{5}{8} > \frac{3}{8} & 2. \frac{3}{5} > \frac{1}{5} \\
3. \frac{4}{9} < \frac{7}{9} & 4. \frac{1}{3} = \frac{2}{6} \\
5. \frac{2}{4} = \frac{3}{6} & 6. \frac{7}{9} > \frac{2}{9} \\
\\
\text{Adding Fractions:} & \\
1. \frac{2}{4} + \frac{1}{4} = \frac{3}{4} & 2. \frac{4}{7} + \frac{2}{7} = \frac{6}{7} \\
3. \frac{2}{9} + \frac{6}{9} = \frac{8}{9} & 4. \frac{3}{5} + \frac{1}{5} = \frac{4}{5} \\
5. \frac{1}{6} + \frac{4}{6} = \frac{5}{6} & 6. \frac{4}{9} + \frac{3}{9} = \frac{7}{9} \\
\end{array}
}
$$