Question

Which fractions are equivalent to 40%? Check all that apply.
StartFraction 8 Over 100 EndFraction
Two-fifths
StartFraction 8 Over 20 EndFraction
StartFraction 4 Over 10 EndFraction
StartFraction 16 Over 40 EndFraction

Answer 1

To determine which fractions are equivalent to 40%, we first express 40% as a fraction. 40% can be written as:

\[
\frac{40}{100}
\]

Now, we will simplify this fraction:

\[
\frac{40}{100} = \frac{4}{10} = \frac{2}{5} = \frac{8}{20} = \frac{16}{40} = \frac{1}{5} \text{ (not equivalent)}
\]

Now, let's compare the options given:

1. **StartFraction 8 Over 100 EndFraction**:
\[
\frac{8}{100} = 0.08 \text{ (not equivalent)}
\]

2. **Two-fifths**:
\[
\frac{2}{5} = 0.40 \text{ (equivalent)}
\]

3. **StartFraction 8 Over 20 EndFraction**:
\[
\frac{8}{20} = \frac{2}{5} = 0.40 \text{ (equivalent)}
\]

4. **StartFraction 4 Over 10 EndFraction**:
\[
\frac{4}{10} = \frac{2}{5} = 0.40 \text{ (equivalent)}
\]

5. **StartFraction 16 Over 40 EndFraction**:
\[
\frac{16}{40} = \frac{2}{5} = 0.40 \text{ (equivalent)}
\]

Thus, the fractions that are equivalent to 40% are:

- Two-fifths
- StartFraction 8 Over 20 EndFraction
- StartFraction 4 Over 10 EndFraction
- StartFraction 16 Over 40 EndFraction

Therefore, the equivalent fractions are **Two-fifths, StartFraction 8 Over 20 EndFraction, StartFraction 4 Over 10 EndFraction, and StartFraction 16 Over 40 EndFraction**.