Select two ratios that have the same unit rate as the ratio below.6 : 9Responses15 : 1515 : 158 : 128 : 1216 : 1916 : 192 : 3
Question
Select two ratios that have the same unit rate as the ratio below.
6 : 9
Responses
15 : 15
15 : 15
8 : 12
8 : 12
16 : 19
16 : 19
2 : 3
Solution
The two ratios that have the same unit rate as the ratio 6:9 are 8:12 and 2:3.
Here's how you can find out:
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First, simplify the given ratio 6:9 by dividing both numbers by their greatest common divisor, which is 3. This gives you 2:3.
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Now, look at the provided options and simplify them in the same way.
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The ratio 15:15 simplifies to 1:1, which is not the same as 2:3.
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The ratio 8:12 simplifies to 2:3, which is the same as the given ratio.
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The ratio 16:19 cannot be simplified to 2:3.
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The ratio 2:3 is already in the simplest form and is the same as the given ratio.
So, the ratios 8:12 and 2:3 have the same unit rate as the ratio 6:9.
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