Question

which fraction is equivalent to 80%?
options:
$\frac{1}{8}$
$\frac{3}{5}$
$\frac{4}{8}$
$\frac{5}{8}$

Explanation:

Step1: Convert 80% to fraction

To convert a percentage to a fraction, we write the percentage as a fraction with a denominator of 100. So, \(80\%=\frac{80}{100}\). Then we simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 20. \(\frac{80\div20}{100\div20}=\frac{4}{5}\)? Wait, no, wait. Wait, 80 divided by 20 is 4, 100 divided by 20 is 5? Wait, no, 80/100 simplifies to 4/5? Wait, no, 80% is 0.8, and 0.8 as a fraction is 4/5? Wait, but let's check the options. Wait, the options are \(\frac{1}{8}\), \(\frac{3}{5}\), \(\frac{4}{5}\) (wait, the second row first is 4/5? Wait, the image shows: first row left \(\frac{1}{8}\), first row right \(\frac{3}{5}\); second row left \(\frac{4}{5}\) (maybe a typo, but let's check). Wait, 80% is 0.8. Let's convert each option to decimal:

• \(\frac{1}{8}=0.125\), not 0.8.
• \(\frac{3}{5}=0.6\), not 0.8.
• \(\frac{4}{5}=0.8\), which is equal to 80%.
• \(\frac{5}{8}=0.625\), not 0.8.

Wait, so the correct fraction is \(\frac{4}{5}\), which is the second row left option. Wait, maybe the second row left is \(\frac{4}{5}\) (the text in the image for second row left is "4/5" maybe? Let's re-express:

To find the fraction equivalent to 80%:

1. Recall that \( \% = \frac{1}{100} \), so \( 80\% = \frac{80}{100} \).
2. Simplify \( \frac{80}{100} \) by dividing numerator and denominator by 20: \( \frac{80\div20}{100\div20} = \frac{4}{5} \).

Now check the options:

• \( \frac{1}{8} = 0.125

eq 0.8 \)

• \( \frac{3}{5} = 0.6

eq 0.8 \)

• \( \frac{4}{5} = 0.8 = 80\% \)
• \( \frac{5}{8} = 0.625

eq 0.8 \)

So the correct fraction is \( \frac{4}{5} \), which is the second row left option (the one with \( \frac{4}{5} \)).

Answer:

The fraction equivalent to 80% is \(\frac{4}{5}\) (the option with \(\frac{4}{5}\), which is the second row, first column option).