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. $\frac{8}{28}$: $$\frac{8}{28}=\frac{8÷4}{28÷4}=\frac{2}{7}$$ This is equivalent to $\frac{2}{7}$.

2. $\frac{10}{35}$: $$\frac{10}{35}=\frac{10÷5}{35÷5}=\frac{2}{7}$$ This is also equivalent to $\frac{2}{7}$.

3. $\frac{2}{14}$: $$\frac{2}{14}=\frac{2÷2}{14÷2}=\frac{1}{7}$$ 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:

• $\frac{8}{28}$
• $\frac{10}{35}$