Rewriting fractions as decimals | Math | 4th grade | Khan Academy

TL;DR

Learn how to convert fractions to decimals by breaking them down and recognizing place values.

Transcript

• [Voiceover] Let's write 29/100 as a decimal. So we'll start with 29 over 100, and let's start breaking that down till we can get to place values 'cause place values will help us to convert to write this as a decimal. 29/100 we can break that down into 20/100 plus 9/100. 20/100 plus nine more hundredths is equal to 29/100. So we've just broken it ... Read More

Key Insights

• 🥳 Breaking down fractions into simpler parts can aid in converting them to decimals.
• 🧑‍🏭 Simplifying fractions by dividing both the numerator and the denominator by a common factor results in equivalent fractions with smaller values.
• 🥇 Recognizing place values, such as tenths and hundredths, is crucial in understanding and writing decimals.
• 🌥️ Fractions where the numerator is larger than the denominator can still be converted to decimals.

Questions & Answers

Q: How do you convert 29/100 to a decimal?

To convert 29/100 to a decimal, you can break it down into 20/100 plus 9/100. Simplifying these fractions leads to 2/10 and 9/100, which can be written as two-tenths and nine-hundredths. Therefore, 29/100 is equal to 0.29 or 29 hundredths as a decimal.

Q: How can place values help with converting fractions to decimals?

Place values provide a framework to determine the decimal representation of a fraction. By recognizing the tenths and hundredths place values, it becomes easier to convert fractions to decimals. For example, in the fraction 29/100, we have two-tenths and nine-hundredths.

Q: Can fractions with a numerator larger than the denominator be converted to decimals?

Yes, fractions with a numerator larger than the denominator can be converted to decimals. For example, to convert 53/10 to a decimal, we break it down into 50/10 plus 3/10. Simplifying these fractions gives us 5/1 and 3/10, which can be written as five and three-tenths. Therefore, 53/10 is equal to 5.3 as a decimal.

Q: Why is it important for the fraction and decimal to be read the same way?

When both the fraction and the decimal representation of a number are read the same way, it indicates that the conversion from fraction to decimal was done correctly. In the example given, 29 hundredths is equivalent to 29/100, reinforcing the accuracy of the conversion.

Summary & Key Takeaways

• The video demonstrates how to convert the fraction 29/100 to a decimal by breaking it down into two parts: 20/100 and 9/100.

• The fractions 20/100 and 9/100 can be simplified to 2/10 and 9/100 respectively, which can then be written as two-tenths and nine-hundredths.

• Using place values, the decimal representation of 29/100 is found to be 0.29 or 29 hundredths.