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In this activity, we will be converting from percentages into decimals and fractions.
The symbol % stands for percent, which means out of a hundred.
Cent is the French for hundred and the % symbol looks a bit like two zeros with a 1 through them... 0|0.
We can easily convert between percentages, fractions, and decimals as shown in the example below.
45% (45 percent) is equal to 45/100 (45 hundredths) = 0.45
78% (78 percent) is equal to 78/100 (78 hundredths) = 0.78
5% (5 percent) is equal to 5/100 (5 hundredths) = 0.05
40% (40 percent) is equal to 40/100 (40 hundredths) = 0.40 = 0.4
Remember that:
50% (50 percent) is equal to 50/100 (50 hundredths) = 0.5 or one half.
100% (100 percent) is equal to 100/100 or one whole.
Let's try a question together!
Example
How can we write 13% as a decimal and a fraction?
Answer
13% means 13 out of 100 or 13 hundredths.
As a decimal, this is 0.13.
As a fraction, this is 13/100.
When converting a percentage into a decimal or a fraction, divide by 100.
Are you ready to try some questions now?
Question
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Teacher explanation