Select the two fractions that are equivalent to 2/7

Question

.(2 points)
Responses

8/28
8 over 28

10/35
10 over 35

2/14
2 over 14

4/7

Answer 1

To find the fractions equivalent to \( \frac{2}{7} \), we can simplify or find a common multiplier for each fraction:

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

2. \( \frac{10}{35} \): \[ \frac{10}{35} = \frac{10 \div 5}{35 \div 5} = \frac{2}{7} \] This is also equivalent to \( \frac{2}{7} \).

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

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

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

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