Equivalent Fractions worksheet for Grade 4 students, featuring fraction comparison and space to demonstrate calculations.

To solve the problem of finding equivalent fractions, we need to identify which fraction in the "Equivalent Fraction" column is equal to the fraction in the "Fraction" column. Equivalent fractions are fractions that represent the same value but are expressed with different numerators and denominators. We can find equivalent fractions by multiplying or dividing both the numerator and the denominator of a fraction by the same non-zero number.

Let's solve each row step by step:

Row 1:

- Fraction: \( \frac{1}{2} \)
- Equivalent Fractions: \( \frac{2}{4}, \frac{3}{9}, \frac{5}{8}, \frac{2}{6}, \frac{6}{6} \)

To find an equivalent fraction:
- \( \frac{1}{2} \) can be multiplied by 2 to get \( \frac{2}{4} \).

So, \( \frac{2}{4} \) is equivalent to \( \frac{1}{2} \).

Row 2:

- Fraction: \( \frac{1}{3} \)
- Equivalent Fractions: \( \frac{2}{4}, \frac{3}{5}, \frac{4}{8}, \frac{3}{9}, \frac{5}{10} \)

To find an equivalent fraction:
- \( \frac{1}{3} \) can be multiplied by 3 to get \( \frac{3}{9} \).

So, \( \frac{3}{9} \) is equivalent to \( \frac{1}{3} \).

Row 3:

- Fraction: \( \frac{2}{3} \)
- Equivalent Fractions: \( \frac{3}{6}, \frac{3}{9}, \frac{4}{6}, \frac{3}{9}, \frac{4}{12} \)

To find an equivalent fraction:
- \( \frac{2}{3} \) can be multiplied by 2 to get \( \frac{4}{6} \).

So, \( \frac{4}{6} \) is equivalent to \( \frac{2}{3} \).

Row 4:

- Fraction: \( \frac{1}{4} \)
- Equivalent Fractions: \( \frac{4}{6}, \frac{2}{4}, \frac{6}{9}, \frac{3}{6}, \frac{5}{20} \)

To find an equivalent fraction:
- \( \frac{1}{4} \) can be multiplied by 5 to get \( \frac{5}{20} \).

So, \( \frac{5}{20} \) is equivalent to \( \frac{1}{4} \).

Row 5:

- Fraction: \( \frac{3}{4} \)
- Equivalent Fractions: \( \frac{1}{2}, \frac{2}{8}, \frac{4}{16}, \frac{4}{8}, \frac{9}{12} \)

To find an equivalent fraction:
- \( \frac{3}{4} \) can be multiplied by 3 to get \( \frac{9}{12} \).

So, \( \frac{9}{12} \) is equivalent to \( \frac{3}{4} \).

Final Answer:

\[
\boxed{
\begin{array}{ccc}
\text{Fraction} & \text{Equivalent Fraction} & \text{Show Your Work} \\
\hline
\frac{1}{2} & \frac{2}{4} & \frac{1}{2} \times \frac{2}{2} = \frac{2}{4} \\
\frac{1}{3} & \frac{3}{9} & \frac{1}{3} \times \frac{3}{3} = \frac{3}{9} \\
\frac{2}{3} & \frac{4}{6} & \frac{2}{3} \times \frac{2}{2} = \frac{4}{6} \\
\frac{1}{4} & \frac{5}{20} & \frac{1}{4} \times \frac{5}{5} = \frac{5}{20} \\
\frac{3}{4} & \frac{9}{12} & \frac{3}{4} \times \frac{3}{3} = \frac{9}{12} \\
\end{array}
}
\]