Write three fractions equivalent to start fraction, 10, divided by, 14, end fraction

14
10

. Scale the numerator and denominator up for the first two and down for the third.
Scale up by:
Equivalent fraction:
Scale up by:
Equivalent fraction:
Scale down by:
Equivalent fraction:

1 answer

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

  1. Scale up by 2: \[ \text{Equivalent fraction} = \frac{10 \times 2}{14 \times 2} = \frac{20}{28} \]

  2. Scale up by 3: \[ \text{Equivalent fraction} = \frac{10 \times 3}{14 \times 3} = \frac{30}{42} \]

Scale Down

  1. Scale down by 2: \[ \text{Equivalent fraction} = \frac{10 \div 2}{14 \div 2} = \frac{5}{7} \]

Summary of Equivalent Fractions

  1. Scale up by 2: \( \frac{20}{28} \)
  2. Scale up by 3: \( \frac{30}{42} \)
  3. Scale down by 2: \( \frac{5}{7} \)
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