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
as a percent, we need to find a fraction equivalent to
that has a 100 in the denominator. We can do this by setting up a proportion.
=
![(n)/(100)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l0tuv085k2jyx9ksq23f6uz217u55jpj0p.png)
20n = 900
÷20 ÷20
n = 45
Therefore,
is equal to 45%.
To write
as a decimal, we need to find a fraction equivalent to
with a 100 in the denominator. Notice that if we multiply the numerator and the denominator of
by 5, we get the equivalent fraction
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
as 0.45.
Therefore,
is equivalent to 0.45.