How To Convert Fractions to Decimals

TL;DR

Learn how to convert fractions into decimals using long division and identify repeating decimals.

Transcript

in this video we're going to talk about how to convert a fraction into a decimal so let's start with a simple example two over five how can we convert this fraction into a decimal the best way to do this is using long division how many times does 5 go into two five goes into two zero times so we need to add a decimal point and a zero now we're gonn... Read More

Key Insights

• 🪘 Long division is an effective method for converting fractions into decimals.
• 🧑‍🏭 Repeating decimals occur when the denominator contains the factor 9.
• ➗ To convert fractions into decimals, divide the numerator by the denominator using long division and add zeros as needed.

Questions & Answers

Q: What is the best method to convert fractions into decimals?

The best method is to use long division, dividing the numerator by the denominator.

Q: How do you convert 2/5 into a decimal?

By performing long division: 5 goes into 2 zero times, then add a decimal point with a zero. 5 goes into 20 four times, resulting in 0.4.

Q: What is the decimal value of 1/4?

Using long division: 4 goes into 1 zero times, add a decimal point with a zero. 4 goes into 10 two times, resulting in 0.8. Subtracting, we get 0.2.

Q: How can you identify if a decimal will repeat?

If the denominator contains the factor 9, the decimal will repeat. For example, 1/9 is 0.1 repeating.

Summary & Key Takeaways

• Long division is the best method to convert fractions into decimals.

• Divide the numerator by the denominator and add a decimal point with zeros as needed.

• Keep dividing until the remainder becomes zero to get the decimal equivalent of the fraction.