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Key Concepts: #1) We can create equivalent fractions by multiplying or dividing numerator and denominator by the same value. #2) p/100 = p%. For example, 19/100 = 19%

\(\frac{3}{10^4}\) = \(\frac{3}{10000}\) Divide numerator and denominator by 100 to get: = \(\frac{0.03}{100}\) = 0.03%

A percentage is a way of expressing a number as a fraction of 100 (per cent meaning "per hundred"). It is often denoted using the percent sign, "%", or the abbreviation "pct". Since a percent is an amount per 100, percents can be represented as fractions with a denominator of 100. For example, 25% means 25 per 100, 25/100 and 350% means 350 per 100, 350/100.

By definition itself, percentage is nothing but amount in each hundred. i.e. 20% mean 20/100 = 0.2 In the equation, 3/10^4 = 0.0003 which is X%. Let's back calculate as I mentioned. What value of X will the equation will give 0.0003.

The key concept for this question is direction of moving decimal places.

Take the numerator 3. , and move the decimal place four places to the left, for you are dividing by 10^4, meaning the numerator will become small by 4 places, which is the number in the exponent.

After moving the decimal four places left, you get 3.0 ---> 0.0003

Now, with 0.0003 you move the decimal two places to the right, because you are multiplying by 100 (i.e. the percent) Since you are multiplying a decimal by a whole number, the value of the decimal becomes larger, hence, 0.0003 x 100 --- move decimal two to right ---> 0.03 = x