Video Transcript
In a school, 38 and one-fifth percent
of students signed up to visit a local zoo. Express this percent as a decimal.
There are lots of ways of approaching
this problem. One way would be to split 38 and
one-fifth percent into 38 percent and one-fifth of a percent. Let’s consider 38 percent first. As the word percent means out of 100,
we know that 38 percent is equal to 38 over 100. This is the same as 38 divided by 100,
which equals 0.38. This means that 38 percent is the same
as the decimal 0.38.
Let’s now consider one-fifth of a
percent. The fraction one-fifth is the same as
two-tenths. This is because we have multiplied the
numerator and denominator by two. Two-tenths is the same as 0.2, as two
divided by 10 is 0.2. We can therefore say that one-fifth of
a percent is the same as 0.2 percent.
To convert from percentages to
decimals, we divide by 100. 0.2 divided by 100 is 0.002 as all the
digits move two places to the right. One-fifth of a percent written as a
decimal is 0.002. Adding this to 0.38 gives us 0.382. 38 and a fifth percent written as a
decimal is 0.382.
