Converting percent to decimal and fraction | Decimals | Pre-Algebra | Khan Academy | Summary and Q&A

TL;DR

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

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.

Transcript

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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.