Write 0.2% as a fraction or mixed number in simplest form 0.2% =

Write 0.2% as a fraction or mixed number in simplest form 0.2% =

The Correct Answer and Explanation is:

ChatGPT said:

Correct Answer:
0.2% = 1/500

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Explanation:

To write 0.2% as a fraction in simplest form, follow these steps:

Step 1: Understand what percent means

Percent means “per hundred.” So 0.2% literally means:0.2%=0.21000.2\% = \frac{0.2}{100}0.2%=1000.2​

Step 2: Convert the decimal to a fraction

Start by writing 0.2 as a fraction.0.2=2100.2 = \frac{2}{10}0.2=102​

Now substitute that into the percent expression:0.2%=210÷1000.2\% = \frac{2}{10} \div 1000.2%=102​÷100

Step 3: Divide by 100

Dividing by 100 is the same as multiplying by 1/100.210×1100=21000\frac{2}{10} \times \frac{1}{100} = \frac{2}{1000}102​×1001​=10002​

Step 4: Simplify the fraction

To simplify, find the greatest common divisor (GCD) of 2 and 1000. The GCD is 2.2÷21000÷2=1500\frac{2 \div 2}{1000 \div 2} = \frac{1}{500}1000÷22÷2​=5001​

So,0.2%=15000.2\% = \frac{1}{500}0.2%=5001​

Final Answer:

0.2% = 1/500

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Why this matters:
Understanding how to convert percentages to fractions helps with accurate comparisons, especially in math, finance, or science. It is also a common skill tested in exams. By breaking down the decimal, converting the percent, and simplifying the result, we ensure the answer is correct and in its most reduced form.

This method works for all percentages. You begin by dividing by 100 and then simplify. With small percentages like 0.2%, you will often end up with fractions with larger denominators.