Convert any Fraction to a Decimal - easy math lesson | Summary and Q&A

TL;DR

Learn how to convert fractions to decimals using division and terminating decimals, and convert decimals with recurring digits to fractions.

Key Insights

• ➗ Fractions can be converted to decimals by viewing them as divisions and using long division.
• ❤️‍🩹 Terminating decimals are decimals that end after a specific number of decimal places.
• 🫥 Recurring decimals continue indefinitely and can be represented using a recurring dot and the appropriate fraction.
• 🐕‍🦺 Conversion from fractions to decimals and vice versa requires understanding the concepts of divisions and place value.
• 💁 Converting decimals to fractions involves identifying the recurring pattern and representing it in fractional form.
• ❓ The concept of terminating and recurring decimals is important in understanding the conversion process.
• 🪘 The long division method is used to convert fractions to decimals without a calculator.

Transcript

good day and welcome to the tech math Channel what we're going to be having a look at in this video is converting from fractions to decimals and then a little bit more difficult we're going to have a look at converting back from decimals to fractions it does require a little bit more work okay but we'll be looking how to do that anyway it's a it's ... Read More

Questions & Answers

Q: How are fractions viewed when converting them to decimals?

Fractions are considered as the division between two numbers. For example, 3/8 can be seen as 3 divided by 8.

Q: How can you convert a fraction to a decimal without a calculator?

To convert a fraction to a decimal, use the long division method. Divide the numerator by the denominator and continue the division until you get a terminating decimal or a recurring decimal.

Q: What does a terminating decimal mean?

A terminating decimal is a decimal that ends after a finite number of decimal places. There is no remainder, and the decimal expression is complete. For example, 0.375 is a terminating decimal.

Q: How do you represent a recurring decimal in fractional form?

A recurring decimal can be represented as a fraction by placing the recurring digit(s) over the appropriate number of nines for each recurring digit. For example, 0.666... can be represented as 2/3.

Summary & Key Takeaways

• The video teaches how to convert fractions to decimals using division. Fractions are viewed as the division between two numbers.

• The example of converting 3/8 to a decimal is demonstrated step-by-step, resulting in the terminating decimal 0.375.

• The video also explains how to convert decimals with recurring digits to fractions. Using the example of 2/3, the process shows a recurring decimal of 0.666... which can be represented as 0.6 with a recurring dot.