Question

three fractions equivalent to start fraction, 4, divided by, 16, end fraction
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 \(\frac{4}{16}\).