Conversion of 0.02% into a fraction

To convert 0.02% into a fraction, we need to understand what percent means and how it relates to fractions.

Understanding the concept of percent

Percentages are a way of expressing a fraction or a ratio out of 100. The term "percent" means "per hundred." Therefore, when we say 0.02%, we mean 0.02 out of 100.

Writing 0.02% as a fraction

To convert 0.02% into a fraction, we can follow these steps:

1. Write the percentage as a fraction with a denominator of 100.
0.02% = 0.02/100

2. Simplify the fraction (if possible).
The fraction 0.02/100 cannot be simplified further because 2 and 100 do not have any common factors other than 1.

3. Express the fraction in its simplest form.
To simplify the fraction, we can divide both the numerator and denominator by 2.
0.02/100 = (0.02 ÷ 2) / (100 ÷ 2)
= 0.01/50

4. Final answer:
Therefore, 0.02% can be written as the fraction 0.01/50.

Conclusion

0.02% can be converted into the fraction 0.01/50. It is important to note that when dealing with percentages, it is always helpful to remember that percent means "per hundred," and converting a percentage to a fraction involves writing it as a fraction with a denominator of 100.