three fractions equivalent to start fraction, 4, divided by, 16, end fraction

Question

16
4
​
. 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:

Answer 1

To find equivalent fractions for the fraction \(\frac{4}{16}\), we can scale the numerator and denominator up or down.

Scaling Up:

1. Scale up by \(2\): \[ \text{Equivalent fraction} = \frac{4 \times 2}{16 \times 2} = \frac{8}{32} \]

2. Scale up by \(3\): \[ \text{Equivalent fraction} = \frac{4 \times 3}{16 \times 3} = \frac{12}{48} \]

Scaling Down:

3. Scale down by \(2\): \[ \text{Equivalent fraction} = \frac{4 \div 2}{16 \div 2} = \frac{2}{8} \]

Summary:

• Scale up by: \(2\) → Equivalent fraction: \(\frac{8}{32}\)
• Scale up by: \(3\) → Equivalent fraction: \(\frac{12}{48}\)
• Scale down by: \(2\) → Equivalent fraction: \(\frac{2}{8}\)

These fractions are all equivalent to \(\frac{4}{16}\).