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Basic example of rewriting a fraction as a decimal | Decimals | Pre-Algebra | Khan Academy

August 10, 2015
by
Khan Academy
YouTube video player
Basic example of rewriting a fraction as a decimal | Decimals | Pre-Algebra | Khan Academy

TL;DR

Learn how to convert the fraction 3/5 to a decimal, which is equal to 0.6.

Transcript

Let's see if we can write 3/5 as a decimal. And I encourage you to pause this video and think about if you can do it on your own. And I'll give you a hint here. Can we rewrite this fraction so, instead of it being in terms of fifths, it can be in terms of tenths? So I'm assuming you've given a go at it. Let's try to rewrite this as a fraction with ... Read More

Key Insights

  • ❓ Visualizing fractions using representations such as shaded areas can make it easier to understand and convert them to decimals.
  • 👻 Multiplying the numerator and denominator by the same number allows us to preserve the value of the fraction while simplifying it for decimal conversion.
  • 🗂️ Converting fractions to decimals involves dividing the numerator by the denominator.

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Summary & Key Takeaways

  • The video explains how to convert the fraction 3/5 to a decimal using visual representation and simplifying the fraction.

  • By dividing the numerator and denominator of 3/5 by 2, it can be rewritten as 6/10 or 6 times 1/10.

  • The decimal representation of 6/10 is 0.6, which is equivalent to 3/5.


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