In order to write \(\frac{18}{25}\) as a decimal, we need to find a fraction equivalent to\(\frac{18}{25}\) with a 100 in the denominator. Notice that if we multiply the numerator and the denominator of \(\frac{18}{25}\) by 4, we get the equivalent fraction \(\frac{72}{100}\) which we can now write as a decimal. Remember that the hundredths place is 2 places to the right of the decimal point. Therefore, we can write \(\frac{72}{100}\) as 0.72.
To write a fraction to a percent, first remember that a percent is a ratio of a number to 100 so to write \(\frac{18}{25}\) as a percent, we need to find a fraction equivalent to \(\frac{18}{25}\) that has a 100 in the denominator. We can . do this by setting up a proportion.
\(\frac{18}{25}\) ≈ \(\frac{n}{100}\)
Now, we can use cross products to find the missing value.
25n = 1800
÷ 25 ÷25
n = 72%
Therefore, \(\frac{18}{25}\) is equal to 72%.
