To determine which fractions are equivalent to \( \frac{2}{7} \), we can find their decimal values or simplify them.
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\( \frac{4}{7} \): This is already in simplest form and clearly not equivalent to \( \frac{2}{7} \).
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\( \frac{8}{28} \): Simplifying this yields: \[ \frac{8 \div 4}{28 \div 4} = \frac{2}{7} \] This is equivalent.
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\( \frac{2}{14} \): Simplifying this yields: \[ \frac{2 \div 2}{14 \div 2} = \frac{1}{7} \] This is not equivalent.
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\( \frac{10}{35} \): 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 \( \frac{10}{35} \)).