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Today's Goal: Today student will learn that a percent that is less than 1% or greater than 100% can be expressed as a decimal or as a fraction.
Because "percent" means "out of, or per 100", a percent which is less than 1% is a quantity which is less than 1 out of 100.
.068% .02% .119%
A percent that is greater than 100% is a quantity which is greater than 100 out of 100 or, in other words greater than 1.
110% 225% 671%
For example:
Let's look at a percent which is less than 1....
0.5%
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Write 0.5% as a decimal and as a fraction:
0.5% = 0.005
Again, since percent means per 100, you can change a percent to a fraction by simply putting the percent over 100:
0.5% = .5/100
Remember, we cannot leave a decimal in the numerator so we must rewrite it as a whole number. To do that simply move the decimal as many places to the right as required to make it a whole number, then add as many zeros, as places moved, to 100 in the denominator
.5/100 = 5/1000 (add 1 zero to 100)
The final step is to reduce the fraction to lowest terms: 5/1000 = 1/200
Another Example ....
Now let's look at a percent which is greater than 100...
130%
Write 130% first as a decimal..
130% = 1.30 or 1.3
If we change it to a fraction it becomes 1 3/10
Since the fraction 3/10 cannot be reduced our final answer is 1 3/10
Now let's try some problems using percents which are less than 1% or greater than 100%.
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