As a student, you may be required to a into a in class or during an examination. This skill is essential in Mathematics and helps you to understand concepts better. The process of converting a percentage into a fraction is not complicated if you follow a few simple rules. In this article, we will explore the steps involved in converting into .

A percentage is a expressed as a fraction of 100. For instance, 60% is equivalent to 60/100. To convert this percentage into a fraction, you will need to simplify the fraction. In this case, you can both the numerator and the denominator by 20 to obtain the lowest form of the fraction. So, 60% is equal to 3/5.

Let us look at another example; 25%. To convert this percentage into a fraction, you can use the same rule as above. 25% is equivalent to 25/100. You can then simplify this fraction by dividing both the numerator and the denominator by 25 to obtain 1/4.

Another method of finding the fraction equivalent of a percentage is to use a proportion. This method works well when you have to convert a percentage into a mixed number. For example, 66.6%. To find the equivalent fraction for this percentage, you can set up a proportion as follows:

66.6/100 = x/1

To solve for x, you can cross-multiply the fractions to get:

66.6 x 1 = 100 x

x = (66.6 x 1)/100

x = 0.666

To convert the 0.666 into a fraction, you can multiply both the numerator and the denominator by 1000 to get 666/1000. You can then simplify this fraction by dividing both the numerator and the denominator by 2 to get 333/500. This mixed number can also be written as 3 1/3.

When dealing with percentages that have decimals, you can skip the proportion method and convert the decimal directly into a fraction. For instance, 62.5% is equivalent to 0.625. You can then move the decimal point to the right by 2 places to obtain the fraction 625/1000. You can simplify this fraction by dividing both the numerator and the denominator by 125 to get 5/8.

In summary, converting a percentage into a fraction involves dividing the percentage by 100 and simplifying the fraction as much as possible. Alternatively, you can set up a proportion to find the equivalent fraction. With practice, you can become proficient at converting percentages into fractions. This skill will come in handy when you need to work with fractions in Mathematics.

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