Question

Select the two factions that are equivalent to 2/7.

- 10/35
- 2/14
- 4/7
- 8/28

Answer 1

To find the factions that are equivalent to \( \frac{2}{7} \), we need to simplify or convert each fraction to see if it equals \( \frac{2}{7} \).

1. **For \( \frac{10}{35} \)**:
- Simplifying \( \frac{10}{35} \):
\[
\frac{10 \div 5}{35 \div 5} = \frac{2}{7}
\]
- This is equivalent to \( \frac{2}{7} \).

2. **For \( \frac{2}{14} \)**:
- Simplifying \( \frac{2}{14} \):
\[
\frac{2 \div 2}{14 \div 2} = \frac{1}{7}
\]
- This is not equivalent to \( \frac{2}{7} \).

3. **For \( \frac{4}{7} \)**:
- This fraction is already in simplest form and is not equivalent to \( \frac{2}{7} \).

4. **For \( \frac{8}{28} \)**:
- Simplifying \( \frac{8}{28} \):
\[
\frac{8 \div 4}{28 \div 4} = \frac{2}{7}
\]
- This is equivalent to \( \frac{2}{7} \).

Thus, the two factions that are equivalent to \( \frac{2}{7} \) are:

- \( \frac{10}{35} \)
- \( \frac{8}{28} \)