What is the simplified ratio of 6 ounces to 3 pounds?

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1/8

To simplify the ratio of 6 ounces to 3 pounds, it's essential to first convert both measurements to the same unit. Since there are 16 ounces in a pound, 3 pounds can be converted to ounces by multiplying:

3 pounds × 16 ounces/pound = 48 ounces.

Now the ratio can be expressed as 6 ounces to 48 ounces.

Next, this ratio can be simplified by dividing both parts of the ratio by their greatest common factor, which in this case is 6:

6 ounces ÷ 6 = 1,

48 ounces ÷ 6 = 8.

This gives us the simplified ratio of 1 ounce to 8 ounces.

Thus, the ratio of 6 ounces to 3 pounds simplifies to 1/8 when expressed as a fraction. Therefore, the correct answer is indeed 1/8. This clear conversion and simplification process shows how to accurately determine the ratio when different units are initially involved.

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