Convert 62.5% to a fraction, reduced to lowest terms.(1 point)

The fraction that is equivalent to 62.5% is __

1 answer

To convert 62.5% to a fraction, we start by expressing it as:

\[ 62.5% = \frac{62.5}{100} \]

Next, we can convert 62.5 to a fraction. We notice that:

\[ 62.5 = \frac{625}{10} \]

Therefore, we can rewrite \(62.5%\) as:

\[ \frac{625}{10} \div \frac{100}{1} = \frac{625}{1000} \]

Now we simplify \(\frac{625}{1000}\). To do this, we can find the greatest common divisor (GCD) of 625 and 1000. The GCD is 125.

Now, we divide both the numerator and the denominator by their GCD:

\[ \frac{625 \div 125}{1000 \div 125} = \frac{5}{8} \]

Thus, the fraction that is equivalent to 62.5% in lowest terms is:

\[ \frac{5}{8} \]

So, the final answer is:

\(\frac{5}{8}\)