Question

Which fraction is equivalent to StartFraction 5 Over 20 EndFraction?
StartFraction 4 Over 16 EndFraction, because StartFraction 5 Over 20 EndFraction = one-fourth and One-fourth = StartFraction 4 Over 16 EndFraction
StartFraction 4 Over 12 EndFraction, because StartFraction 5 Over 20 EndFraction = one-fourth and One-fourth = StartFraction 4 Over 12 EndFraction
StartFraction 4 Over 19 EndFraction, because StartFraction 5 Over 20 EndFraction = StartFraction 5 minus 1 Over 20 minus 1 EndFraction = StartFraction 4 Over 19 EndFraction
StartFraction 4 Over 15 EndFraction, because StartFraction 5 Over 20 EndFraction = one-fifth = StartFraction 5 minus 1 Over 20 minus 5 EndFraction = StartFraction 4 Over 15 EndFraction

Answer 1

To find an equivalent fraction to \( \frac{5}{20} \), we first simplify that fraction.

1. The fraction \( \frac{5}{20} \) can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 5:
\[
\frac{5 \div 5}{20 \div 5} = \frac{1}{4}
\]

Now, we need to check the given options:

1. **Option 1:** \( \frac{4}{16} \)
- Simplifying \( \frac{4}{16} \) gives:
\[
\frac{4 \div 4}{16 \div 4} = \frac{1}{4}
\]
- This is equivalent to \( \frac{5}{20} \).

2. **Option 2:** \( \frac{4}{12} \)
- Simplifying \( \frac{4}{12} \) gives:
\[
\frac{4 \div 4}{12 \div 4} = \frac{1}{3}
\]
- This is not equivalent to \( \frac{5}{20} \).

3. **Option 3:** \( \frac{4}{19} \)
- This does not simplify to \( \frac{1}{4} \) and is not equivalent to \( \frac{5}{20} \).

4. **Option 4:** \( \frac{4}{15} \)
- This does not simplify to \( \frac{1}{4} \) and is not equivalent to \( \frac{5}{20} \).

Based on the analysis, the equivalent fraction to \( \frac{5}{20} \) is:

**StartFraction 4 Over 16 EndFraction**, because **StartFraction 5 Over 20 EndFraction = one-fourth and One-fourth = StartFraction 4 Over 16 EndFraction**.