To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write [tex]\frac{9}{20}[/tex] as a percent, we need to find a fraction equivalent to [tex]\frac{9}{20}[/tex] that has a 100 in the denominator. We can do this by setting up a proportion.
[tex]\frac{9}{20}[/tex] = [tex]\frac{n}{100}[/tex]
20n = 900
÷20 ÷20
n = 45
Therefore, [tex]\frac{9}{20}[/tex] is equal to 45%.
To write [tex]\frac{9}{20}[/tex] as a decimal, we need to find a fraction equivalent to [tex]\frac{9}{20}[/tex] with a 100 in the denominator. Notice that if we multiply the numerator and the denominator of [tex]\frac{9}{20}[/tex] by 5, we get the equivalent fraction [tex]\frac{45}{100}[/tex] which we can now write as a decimal. Remember that the hundredths place is two places to the right of the decimal point. So we can write [tex]\frac{45}{100}[/tex] as 0.45.
Therefore, [tex]\frac{9}{20}[/tex] is equivalent to 0.45.
