To find three fractions equivalent to \( \frac{10}{14} \), we can scale the numerator and denominator up for the first two fractions and down for the third.
Scale Up
-
Scale up by 2: \[ \text{Equivalent fraction} = \frac{10 \times 2}{14 \times 2} = \frac{20}{28} \]
-
Scale up by 3: \[ \text{Equivalent fraction} = \frac{10 \times 3}{14 \times 3} = \frac{30}{42} \]
Scale Down
- Scale down by 2: \[ \text{Equivalent fraction} = \frac{10 \div 2}{14 \div 2} = \frac{5}{7} \]
Summary of Equivalent Fractions
- Scale up by 2: \( \frac{20}{28} \)
- Scale up by 3: \( \frac{30}{42} \)
- Scale down by 2: \( \frac{5}{7} \)