If 1/3 amounts to 33.33%, then 3/3 is 99.99% and not an entire whole?

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In summary, percentages are a way of representing a fraction as a portion of 100. 1/3 is equivalent to 33.33% because it represents 33.33 parts out of 100. Similarly, 3/3 is equivalent to 99.99% because it represents 99.99 parts out of 100. However, 3/3 is rounded to 99.99% instead of 100% due to the infinite series of numbers in decimals. It is not possible for 1/3 to equal an entire whole because it is a fraction and cannot have the same numerator and denominator. The percentage 99.99% is often used in calculations instead of 100% as it is a more
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ElliotSmith
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TL;DR Summary
How can 3/3 be 100%?
If 1/3 amounts to 33%, then 3/3 would be 99.99% and not a 100% whole.

Correct me if I'm wrong.
 
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  • #2
ElliotSmith said:
Summary: How can 3/3 be 100%?

If 1/3 amounts to 33%, then 3/3 would be 99.99% and not a 100% whole.

Correct me if I'm wrong.
You are wrong. 1/3 is NOT 33% it is 33.33333333333333333333333...% and there is no end to the stream of threes.
 
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  • #4
ElliotSmith said:
Summary: How can 3/3 be 100%?

If 1/3 amounts to 33%, then 3/3 would be 99.99% and not a 100% whole.

Correct me if I'm wrong.
Yes, you are wrong, as has already been shown. Since the question has been asked and answered, I am closing this thread.
 

1. How can 1/3 equal 33.33% if 3/3 is not equal to 100%?

The concept of fractions can be confusing, but it is important to understand that fractions represent a part of a whole. In the case of 1/3, it means one part out of three equal parts. When we convert this fraction to a percentage, it represents the proportion of that part to the whole, which in this case is 33.33%. However, when we add all three parts together (3/3), it does not necessarily equal 100% because the whole may not be equal to 100 units. For example, if the whole is 9 units, then 3/3 would equal 99.99%, not 100%.

2. Why is 3/3 not equal to 100%?

As mentioned before, fractions represent parts of a whole. In the case of 3/3, it means three parts out of three equal parts. When we convert this fraction to a percentage, it represents the proportion of those three parts to the whole. However, the whole may not be equal to 100 units, so the percentage may not equal 100%. For example, if the whole is 9 units, then 3/3 would equal 99.99%, not 100%.

3. How can 3/3 be less than 100%?

It is important to remember that fractions and percentages represent different concepts. Fractions represent parts of a whole, while percentages represent proportions or ratios. In the case of 3/3, it means three parts out of three equal parts, which is equal to 100% in terms of fractions. However, when we convert this fraction to a percentage, it represents the proportion of those three parts to the whole, which may not be equal to 100 units. Therefore, 3/3 may be less than 100% in terms of percentages.

4. Can fractions and percentages be used interchangeably?

No, fractions and percentages cannot be used interchangeably because they represent different concepts. Fractions represent parts of a whole, while percentages represent proportions or ratios. They can be converted to each other, but they cannot be used interchangeably in all situations. For example, if we are talking about a pizza cut into 8 equal slices, we can say that 3/8 of the pizza is left, but it would not make sense to say that 37.5% of the pizza is left.

5. Why do we use fractions and percentages in science?

Fractions and percentages are commonly used in science to represent parts of a whole and proportions or ratios. In scientific experiments and data analysis, it is important to understand the relationship between different parts and the whole in order to draw accurate conclusions. Fractions and percentages allow scientists to express these relationships in a clear and concise manner. They are also useful for making comparisons and understanding changes over time or across different groups.

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