How To Turn A Percent Into A Fraction.

Have you ever struggled with converting a percentage into a fraction? It can be a tricky concept to grasp, but with a little explanation and practice, you’ll be able to do it with ease. In this guide, we’ll break down the steps for how to turn a percent into a fraction in a simple and straightforward way.

First things first, let’s review what a percentage and a fraction actually are. A percentage is a number that represents a portion out of 100, while a fraction is a way of expressing a part-to-whole relationship. So, when we convert a percentage into a fraction, we are essentially finding an equivalent fraction that represents the same value.

To begin, let’s look at an example: let’s say you have 75%. To convert this into a fraction, you simply write the percentage as a fraction with 100 as the denominator. So, 75% would be written as 75/100.

Next, you’ll want to simplify the fraction. To do this, you find the greatest common factor (GCF) of the numerator and denominator and divide both by that number. In this case, the GCF of 75 and 100 is 25. So, when you divide both numbers by 25, you get 3/4. Therefore, 75% is equivalent to 3/4 as a fraction.

Another example would be if you had 20%. Following the same steps as before, you would write 20% as 20/100. Then, you simplify the fraction by dividing both numbers by the GCF, which in this case is 20. So, 20% is equivalent to 1/5 as a fraction.

It’s important to note that when converting a percentage into a fraction, you may encounter decimals as well. For example, if you have 37.5%, you would first convert this into a fraction by writing 37.5/100. Then, you simplify the fraction by dividing both numbers by the GCF, which is 12.5 in this case. So, 37.5% is equivalent to 3/8 as a fraction.

In summary, to turn a percentage into a fraction, you simply write the percentage as a fraction with 100 as the denominator, then simplify the fraction by finding the GCF of the numerator and denominator and dividing both by that number. With a little practice, you’ll be able to convert percentages into fractions quickly and accurately.

So, the next time you come across a percentage that needs to be converted into a fraction, you’ll have the knowledge and skills to do so confidently. Happy converting!

Title: How To Turn A Percent Into A Fraction: A Simple Guide

Are you struggling to convert percents into fractions? Do you find yourself scratching your head every time you encounter a percentage that needs to be converted into a fraction? Well, fear not! In this article, we will break down the process of turning a percent into a fraction into simple and easy-to-follow steps. By the end of this guide, you will be a pro at converting percents into fractions.

What is a Percent?

Before we dive into the process of converting percents into fractions, let’s first understand what a percent is. A percent is a way of expressing a number as a fraction of 100. For example, 50% is the same as saying 50 out of 100, which can be simplified to 1/2 as a fraction.

Step 1: Remove the Percent Sign

The first step in converting a percent into a fraction is to remove the percent sign. For example, if you have 25%, you would remove the percent sign to get 25.

Step 2: Write the Percent as a Fraction

Once you have removed the percent sign, you can write the number as a fraction by placing it over 100. Using the example of 25%, we would write it as 25/100.

Step 3: Simplify the Fraction

After writing the percent as a fraction, the next step is to simplify it. In our example of 25/100, we can simplify it by dividing both the numerator and denominator by the greatest common factor, which in this case is 25. This simplifies the fraction to 1/4.

Step 4: Convert the Fraction to Lowest Terms

Finally, it is important to convert the fraction to its lowest terms. In our example of 1/4, since there are no common factors between 1 and 4 other than 1, the fraction is already in its lowest terms.

Practice Makes Perfect

Converting percents into fractions may seem daunting at first, but like any other skill, practice makes perfect. The more you practice converting percents into fractions, the easier it will become. So, grab a pen and paper, and start practicing with different percentages to solidify your understanding.

Additional Tips and Tricks

– Remember that percents can also be converted into decimals before converting them into fractions. For example, 50% can be written as 0.50, which can then be converted into the fraction 1/2.
– If you encounter a percent with a decimal, such as 37.5%, you can first convert the decimal into a fraction before simplifying it further.

In conclusion, converting percents into fractions is a simple process that involves a few easy-to-follow steps. By following the steps outlined in this guide and practicing regularly, you will soon become a pro at converting percents into fractions. So, the next time you come across a percentage that needs to be converted into a fraction, you will tackle it with confidence and ease.

Sources:
– https://www.mathsisfun.com/converting-percentages-fractions.html
– https://www.purplemath.com/modules/percents.htm

Remember, practice makes perfect, so don’t be afraid to tackle those pesky percents and turn them into fractions like a pro!