Which fractions are equivalent to 40%? Check all that apply.

Question

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.