Grade 4 Fractions worksheets: Coloring in equivalent fractions ... - Free Printable

Problem Overview:

The task involves identifying and coloring equivalent fractions for each given fraction. Equivalent fractions are fractions that represent the same value but have different numerators and denominators. The goal is to:

1. Color the second fraction in each pair so that it is equivalent to the first fraction.
2. Write the numerator and denominator of both fractions.

Solution Explanation:

#### Step 1: Understand Equivalent Fractions
Two fractions are equivalent if they can be simplified or expanded to have the same value. For example:
- \( \frac{6}{8} \) is equivalent to \( \frac{3}{4} \) because both represent the same portion when simplified.

#### Step 2: Solve Each Pair

##### 1) \( \frac{6}{8} = \frac{3}{4} \)
- The first fraction is \( \frac{6}{8} \), which simplifies to \( \frac{3}{4} \).
- The second fraction is already colored as \( \frac{3}{4} \).
- Both fractions are equivalent.

##### 2)
- The first fraction is \( \frac{2}{4} \).
- Simplify \( \frac{2}{4} \) to \( \frac{1}{2} \).
- Color the second fraction as \( \frac{1}{2} \) (half of the circle shaded).
- Write: \( \frac{2}{4} = \frac{1}{2} \).

##### 3)
- The first fraction is \( \frac{3}{5} \).
- The second fraction should also represent \( \frac{3}{5} \).
- Color 3 out of 5 parts in the second circle.
- Write: \( \frac{3}{5} = \frac{3}{5} \).

##### 4)
- The first fraction is \( \frac{2}{3} \).
- The second fraction should represent \( \frac{2}{3} \).
- Color 2 out of 3 parts in the second circle.
- Write: \( \frac{2}{3} = \frac{2}{3} \).

##### 5)
- The first fraction is \( \frac{2}{3} \).
- The second fraction should represent \( \frac{2}{3} \).
- Color 2 out of 3 parts in the second circle.
- Write: \( \frac{2}{3} = \frac{2}{3} \).

##### 6)
- The first fraction is \( \frac{4}{6} \).
- Simplify \( \frac{4}{6} \) to \( \frac{2}{3} \).
- Color the second fraction as \( \frac{2}{3} \) (2 out of 3 parts shaded).
- Write: \( \frac{4}{6} = \frac{2}{3} \).

##### 7)
- The first fraction is \( \frac{1}{4} \).
- The second fraction should represent \( \frac{1}{4} \).
- Color 1 out of 4 parts in the second circle.
- Write: \( \frac{1}{4} = \frac{1}{4} \).

##### 8)
- The first fraction is \( \frac{4}{8} \).
- Simplify \( \frac{4}{8} \) to \( \frac{1}{2} \).
- Color the second fraction as \( \frac{1}{2} \) (half of the circle shaded).
- Write: \( \frac{4}{8} = \frac{1}{2} \).

Final Answers:

1) \( \frac{6}{8} = \frac{3}{4} \)
2) \( \frac{2}{4} = \frac{1}{2} \)
3) \( \frac{3}{5} = \frac{3}{5} \)
4) \( \frac{2}{3} = \frac{2}{3} \)
5) \( \frac{2}{3} = \frac{2}{3} \)
6) \( \frac{4}{6} = \frac{2}{3} \)
7) \( \frac{1}{4} = \frac{1}{4} \)
8) \( \frac{4}{8} = \frac{1}{2} \)

Final Answer:

\[
\boxed{
\begin{aligned}
1) & \quad \frac{6}{8} = \frac{3}{4} \\
2) & \quad \frac{2}{4} = \frac{1}{2} \\
3) & \quad \frac{3}{5} = \frac{3}{5} \\
4) & \quad \frac{2}{3} = \frac{2}{3} \\
5) & \quad \frac{2}{3} = \frac{2}{3} \\
6) & \quad \frac{4}{6} = \frac{2}{3} \\
7) & \quad \frac{1}{4} = \frac{1}{4} \\
8) & \quad \frac{4}{8} = \frac{1}{2}
\end{aligned}
}
\]