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Percents As Ratios
How treating percents as ratios can simplify your work
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What is a percent?
Percent means parts per hundred parts:
There are 100 stars here.
There are 3 red stars per hundred total, or 3% of the stars are red.
There are 97 yellow stars per hundred total, or 97% of the stars are yellow.
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There are 300 stars here.
There are 9 red stars per three hundred total.
9/300 = 3/100
3% of the stars are red.
There are 291 yellow stars per three hundred total.
291/300 = 97/100
97% of the stars are yellow.
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Percents ARE ratios
Let’s try to picture, instead, ‘per cent’ or:
%
When most of us think about percents, we picture:
perhundred
Continue….
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How does this help?
Problem 1:Write 75% as a fraction:
Easy!!“3/4”Who needs ratios??
Continue….
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Problem 2:Write 0.0196% as a fraction:
Huh?
Continue….
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Problem 2:Write 0.0196% as a fraction:
Wait…0.0196% is 0.0196 per cent
Continue….
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Problem 2:Write 0.0196% as a fraction:
0.0196 100
0.0196 per cent is:0.0196 per hundred or 0.0196 100
Hurray!
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Problem 3:Convert 0.017 to a percent.
I bet you can use ratios for this too…
Continue…
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Problem 3:Convert 0.017 to a percent.
I want to know…0.017 = ? percent, or ? per hundred: 0.017 = ? 100
Solve…
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Problem 3:Convert 0.017 to a percent.
1.7%
0.017 = ? 100
(0.017)(100) = ?1.7 = ?
So: 0.017 = 1.7/100 or 1.7%
Hurray!
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Percents QuizWrite 0.816% as a fraction:
Write 0.12 as a percent:
Continue…
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Percents QuizWrite 0.816% as a fraction:
0.816 100
Write 0.12 as a percent:0.12 = ?
10012 = ?
0.12 = 12%