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Percents to Fractions Made Easy
Let's tackle turning percents into fractions. It's simpler than you might think! This guide breaks down the process into easy steps. "How to turn a percent into a fraction" is a skill you can master quickly.
How to turn a percent into a fraction: Understanding Percents
First, what is a percent? "Percent" means "out of one hundred." So, 50% means 50 out of 100. This understanding is the key to "how to turn a percent into a fraction".
How to turn a percent into a fraction: The Basic Conversion
To turn a percent into a fraction, simply write the percent as a fraction with 100 as the denominator. For example, 25% becomes 25/100. Now you've taken the first step in learning "how to turn a percent into a fraction"!
How to turn a percent into a fraction: Simplifying Fractions
Most of the time, you'll want to simplify the fraction. This means finding the greatest common factor (GCF) of the numerator and denominator and dividing both by it. Let's simplify 25/100. The GCF of 25 and 100 is 25. Divide both by 25: 25 / 25 = 1 and 100 / 25 = 4. So, 25/100 simplifies to 1/4. You've now successfully completed "how to turn a percent into a fraction".
How to turn a percent into a fraction: Dealing with Decimals
What if you have a percent like 12.5%? First, write it as a fraction: 12.5/100. To get rid of the decimal, multiply both the numerator and denominator by 10: (12.5 10) / (100 10) = 125/1000. Now simplify! The GCF of 125 and 1000 is 125. Divide both by 125: 125 / 125 = 1 and 1000 / 125 = 8. So, 12.5% becomes 1/8. Tricky, but still doable when you know "how to turn a percent into a fraction."
How to turn a percent into a fraction: Handling Percents Greater Than 100
If you have a percent greater than 100, like 150%, the process is the same. Write it as a fraction: 150/100. Simplify by dividing both by their GCF, which is 50: 150 / 50 = 3 and 100 / 50 = 2. So, 150% becomes 3/2. This is an improper fraction (numerator is bigger than the denominator), but it's still a valid fraction. You're becoming a pro at "how to turn a percent into a fraction"!
How to turn a percent into a fraction: Real-World Example
Imagine a store offers a 20% discount. To find out what fraction of the original price you're saving, turn 20% into a fraction. 20% = 20/100. Simplify by dividing both by 20: 20 / 20 = 1 and 100 / 20 = 5. So, you're saving 1/5 of the original price. See? "How to turn a percent into a fraction" is useful!
Question and Answer
Q: What is the first step in converting a percentage to a fraction? A: Write the percentage as a fraction with 100 as the denominator.
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