Converting percent to decimal and fraction | Decimals | Pre-Algebra | Khan Academy

TL;DR

Learn how to convert 18% into decimal and fraction in simplest form using simple steps.

Transcript

Write 18% as a decimal and as a fraction in simplest form. So let's do it as a decimal first. So 18% is the same thing as 18 per 100, or 18 per cent. I'm actually separating out the percent, it's only going to be one word, but I'm writing it as, literally, per cent. Cent means the same thing as 100. So this literally means 18 per 100. Actually, I s... Read More

Key Insights

• 🗂️ 18% can be converted to a decimal by dividing it by 100, resulting in 0.18.
• 😑 To express 18% as a fraction, write it as 18/100 and simplify it to 9/50 by dividing both the numerator and denominator by their greatest common factor.
• 💨 Fastest way to convert a percentage into a fraction is to directly write it as a fraction with 100 in the denominator.
• 👈 The decimal form of 18% is 0.18, which can be obtained by moving the decimal point two spaces to the left.
• 🆘 Understanding the concept of percent as per 100 helps in quickly converting percentages to decimals and fractions.
• 🧑‍🏭 Dividing both the numerator and denominator of a fraction by their greatest common factor simplifies the fraction.
• 😥 Multiples of 10 can be easily converted into decimals by adding a decimal point followed by zeros.
• 💁 The simplified form of 18/100 is 9/50, showing the relationship between percentages and fractions.

Questions & Answers

Q: How do you convert 18% to a decimal?

To convert 18% to a decimal, divide 18 by 100, which gives us 0.18. This means that 18% is equivalent to 0.18 as a decimal.

Q: What is the simplified fraction form of 18%?

The fraction form of 18% is 18/100. To simplify it, divide both the numerator and denominator by their greatest common factor, which is 2 in this case. Simplifying gives us the fraction 9/50.

Q: Is there a quicker method to convert 18% to a fraction?

Yes, you can directly write 18% as 18/100 and simplify it. Dividing both the numerator and denominator by their greatest common factor, which is 2, gives us the simplified fraction 9/50.

Q: Can you convert 18% into a fraction without simplifying it?

Yes, 18% as a fraction is 18/100, which is equivalent to 18 hundredths. However, if you want to express it in simplest form, you need to simplify it to 9/50 by dividing both the numerator and denominator by their greatest common factor, which is 2.

Summary & Key Takeaways

• To convert 18% into a decimal, divide 18 by 100, which is equal to 0.18.

• To convert 18% into a fraction, write it as 18/100. Simplify the fraction by dividing both the numerator and denominator by the greatest common factor, which is 2, resulting in 9/50.

• Another quick way to convert 18% to a fraction is to directly write it as 18/100 and simplify to 9/50.