Question

Select the two fractions that are equivalent to 2/7
.(2 points)
Responses

47
4 sevenths

828
8 over 28

214
2 over 14

1035

Answer 1

To determine which fractions are equivalent to \( \frac{2}{7} \), we can find their decimal values or simplify them.

1. **\( \frac{4}{7} \)**: This is already in simplest form and clearly not equivalent to \( \frac{2}{7} \).

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

3. **\( \frac{2}{14} \)**: Simplifying this yields:
\[
\frac{2 \div 2}{14 \div 2} = \frac{1}{7}
\]
This is not equivalent.

4. **\( \frac{10}{35} \)**: Simplifying this yields:
\[
\frac{10 \div 5}{35 \div 5} = \frac{2}{7}
\]
This is equivalent.

The fractions that are equivalent to \( \frac{2}{7} \) are:

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

So the correct answers are \( \frac{8}{28} \) and \( \frac{10}{35} \) (which was miswritten as \( 1035 \) but intended as \( \frac{10}{35} \)).