a ratio is the comparison of two numbers by division. a classroom has 16 boys and 12 girls. also...
TRANSCRIPT
![Page 1: A ratio is the comparison of two numbers by division. A classroom has 16 boys and 12 girls. Also written as16 boys, 16:12 or 16 to 12 12 girls](https://reader035.vdocument.in/reader035/viewer/2022080906/56649eef5503460f94bff320/html5/thumbnails/1.jpg)
![Page 2: A ratio is the comparison of two numbers by division. A classroom has 16 boys and 12 girls. Also written as16 boys, 16:12 or 16 to 12 12 girls](https://reader035.vdocument.in/reader035/viewer/2022080906/56649eef5503460f94bff320/html5/thumbnails/2.jpg)
A ratio is the comparison of two numbers by division.
A classroom has 16 boys and 12 girls.
Also written as 16 boys, 16:12 or 16 to 12 12 girls
Generally, ratios are in lowest terms: 16 = 16/4 = 4
12 12/4 3
![Page 3: A ratio is the comparison of two numbers by division. A classroom has 16 boys and 12 girls. Also written as16 boys, 16:12 or 16 to 12 12 girls](https://reader035.vdocument.in/reader035/viewer/2022080906/56649eef5503460f94bff320/html5/thumbnails/3.jpg)
Ratios can compare two unlike things:› Joe earned $40 in five hours › The ratio is 40 dollars or 8 dollars
5 hours 1 hour
› When the denominator is one, this is called a unit rate.
![Page 4: A ratio is the comparison of two numbers by division. A classroom has 16 boys and 12 girls. Also written as16 boys, 16:12 or 16 to 12 12 girls](https://reader035.vdocument.in/reader035/viewer/2022080906/56649eef5503460f94bff320/html5/thumbnails/4.jpg)
Let’s look at a classroom: Ratios can be part-to-part
› 16 boys15 girls
Ratios can be part-to-whole› 16 boys
31 students
![Page 5: A ratio is the comparison of two numbers by division. A classroom has 16 boys and 12 girls. Also written as16 boys, 16:12 or 16 to 12 12 girls](https://reader035.vdocument.in/reader035/viewer/2022080906/56649eef5503460f94bff320/html5/thumbnails/5.jpg)
If a ratio is part-to-whole, you can divide and find a decimal or a percent.
› 16 boys31 students
31/16.00 = .516, or 51.6% are boys
![Page 6: A ratio is the comparison of two numbers by division. A classroom has 16 boys and 12 girls. Also written as16 boys, 16:12 or 16 to 12 12 girls](https://reader035.vdocument.in/reader035/viewer/2022080906/56649eef5503460f94bff320/html5/thumbnails/6.jpg)
Proportion is a statement that says two ratios are equal.› In an election, Damon got three votes for each
two votes that Shannon got. Damon got 72 votes. How many votes did Shannon get?
› Damon 3 = 72 so 3 x 24 = 72 Shannon 2 n 2 x 24 48
n = 48, so Shannon got 48 votes.
![Page 7: A ratio is the comparison of two numbers by division. A classroom has 16 boys and 12 girls. Also written as16 boys, 16:12 or 16 to 12 12 girls](https://reader035.vdocument.in/reader035/viewer/2022080906/56649eef5503460f94bff320/html5/thumbnails/7.jpg)
Tires cost two for $75. How much will four tires cost?
› # of tires 2 = 4 so 2 x 2 = 4 tires cost 75 n 75 x 2 $150
n = 150, so four tires cost $150
![Page 8: A ratio is the comparison of two numbers by division. A classroom has 16 boys and 12 girls. Also written as16 boys, 16:12 or 16 to 12 12 girls](https://reader035.vdocument.in/reader035/viewer/2022080906/56649eef5503460f94bff320/html5/thumbnails/8.jpg)
One more way to solve proportions:
2 = 6 2 x n = 6 x 8 2n = 488 n 2 2
n = 24
![Page 9: A ratio is the comparison of two numbers by division. A classroom has 16 boys and 12 girls. Also written as16 boys, 16:12 or 16 to 12 12 girls](https://reader035.vdocument.in/reader035/viewer/2022080906/56649eef5503460f94bff320/html5/thumbnails/9.jpg)
Now you try! Three cans of soup costs $5. How much
will 12 cans cost?
# of cans 3 = 12 3 x 4 = 12 cans cost 5 n 5 x 4 20 dollars
n = 20, so 12 cans cost $20
![Page 10: A ratio is the comparison of two numbers by division. A classroom has 16 boys and 12 girls. Also written as16 boys, 16:12 or 16 to 12 12 girls](https://reader035.vdocument.in/reader035/viewer/2022080906/56649eef5503460f94bff320/html5/thumbnails/10.jpg)
https://www.khanacademy.org/math/arithmetic/rates-and-ratios/ratios_and_proportions/v/understanding-proportions