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Do the following ratios form a proportion? 8/6 and 15/20

A) Yes, they form a proportion.
B) No, they do not form a proportion.

User Alivin
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1 Answer

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Final answer:

After simplifying the ratios 8/6 and 15/20 to 4/3 and 3/4 respectively, we can see that they are not equivalent. Therefore, they do not form a proportion.

Step-by-step explanation:

To determine whether two ratios form a proportion, you need to compare them and verify if they are equivalent. This means that when you simplify each ratio, they should reduce to the same value or if you cross-multiply the ratios, the products should be equal

Let's examine the given ratios: 8/6 and 15/20. We can simplify both ratios by dividing the numerator and the denominator by their greatest common factor. For 8/6, we can divide both by 2, which gives us 4/3. For 15/20, we can divide both by 5, which gives us 3/4.

After simplification, we can see that the ratios are not equivalent (4/3 is not equal to 3/4), and therefore, they do not form a proportion. Thus, the correct answer is B) No, they do not form a proportion.

User Sconibulus
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