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The Quality Assurance department at a gear company found that there were 3 defective gears for every 500 produced. Write this as a fraction and as a percent.

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Final answer:

The fraction is 3/500 and the percentage is 0.6%.

Step-by-step explanation:

To write the ratio of defective gears to total gears produced, we can write it as the fraction 3/500. This means that for every 500 gears produced, there are 3 defective ones.

To write this as a percentage, we can use the formula:

Percentage = (Part/Whole) * 100

In this case, the part is 3 defective gears and the whole is 500 gears produced. Plugging these values into the formula, we get:

Percentage = (3/500) * 100 = 0.6%

Therefore, the fraction is 3/500 and the percentage is 0.6%.

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