Equivalent Fractions Matching Activity - WordUnited - Free Printable

Problem Description:

The task is to match pink fractions with their equivalent blue fractions. For each fraction, we need to identify the numerator and denominator.

Step-by-Step Solution:

#### Pink Fractions:
1. First Pink Circle (Fully Shaded):
- The entire circle is shaded.
- This represents the fraction: \( \frac{4}{4} \) (or any equivalent form like \( \frac{2}{2} \), \( \frac{3}{3} \), etc.).

2. Second Pink Circle (Half Shaded):
- Half of the circle is shaded.
- This represents the fraction: \( \frac{2}{4} \) (or \( \frac{1}{2} \)).

3. Third Pink Circle (One-Third Shaded):
- One-third of the circle is shaded.
- This represents the fraction: \( \frac{1}{3} \).

4. Fourth Pink Circle (One-Quarter Shaded):
- One-quarter of the circle is shaded.
- This represents the fraction: \( \frac{1}{4} \).

5. Fifth Pink Circle (Two-Fifths Shaded):
- Two out of five parts are shaded.
- This represents the fraction: \( \frac{2}{5} \).

#### Blue Fractions:
1. First Blue Circle (One-Eighth Shaded):
- One out of eight parts is shaded.
- This represents the fraction: \( \frac{1}{8} \).

2. Second Blue Circle (Three-Eighths Shaded):
- Three out of eight parts are shaded.
- This represents the fraction: \( \frac{3}{8} \).

3. Third Blue Circle (One-Half Shaded):
- Four out of eight parts are shaded.
- This represents the fraction: \( \frac{4}{8} \) (which simplifies to \( \frac{1}{2} \)).

4. Fourth Blue Circle (Three-Quarters Shaded):
- Six out of eight parts are shaded.
- This represents the fraction: \( \frac{6}{8} \) (which simplifies to \( \frac{3}{4} \)).

5. Fifth Blue Circle (Three-Sixths Shaded):
- Three out of six parts are shaded.
- This represents the fraction: \( \frac{3}{6} \) (which simplifies to \( \frac{1}{2} \)).

#### Matching Equivalent Fractions:

1. First Pink Circle (\( \frac{4}{4} \)):
- Matches with the fully shaded blue circle (not shown in the image but implied as \( \frac{8}{8} \)).

2. Second Pink Circle (\( \frac{2}{4} \) or \( \frac{1}{2} \)):
- Matches with the third blue circle (\( \frac{4}{8} \)).

3. Third Pink Circle (\( \frac{1}{3} \)):
- There is no direct equivalent in the blue circles, but it can be matched conceptually if more options were provided.

4. Fourth Pink Circle (\( \frac{1}{4} \)):
- Matches with the first blue circle (\( \frac{2}{8} \)).

5. Fifth Pink Circle (\( \frac{2}{5} \)):
- There is no direct equivalent in the blue circles, but it can be matched conceptually if more options were provided.

#### Final Answer:

| Pink Fraction | Numerator | Denominator | Blue Fraction | Numerator | Denominator |
|---------------|-----------|-------------|---------------|-----------|-------------|
| 1 | 4 | 4 | — | — | — |
| 2 | 2 | 4 | 3 | 4 | 8 |
| 3 | 1 | 3 | — | — | — |
| 4 | 1 | 4 | 1 | 2 | 8 |
| 5 | 2 | 5 | — | — | — |

Boxed Final Answer:
\[
\boxed{
\begin{array}{|c|c|c|c|c|c|}
\hline
\text{Pink Fraction} & \text{Numerator} & \text{Denominator} & \text{Blue Fraction} & \text{Numerator} & \text{Denominator} \\
\hline
1 & 4 & 4 & — & — & — \\
2 & 2 & 4 & 3 & 4 & 8 \\
3 & 1 & 3 & — & — & — \\
4 & 1 & 4 & 1 & 2 & 8 \\
5 & 2 & 5 & — & — & — \\
\hline
\end{array}
}
\]