Percent to Fraction Conversion Shortcut! | Summary and Q&A

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July 21, 2017
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The Organic Chemistry Tutor
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Percent to Fraction Conversion Shortcut!

TL;DR

Learn how to convert percentages into fractions by following a simple method, including reducing fractions and converting improper fractions into mixed numbers.

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Key Insights

  • 🗂️ Converting percentages into fractions involves dividing the percentage by 100.
  • 🧑‍🏭 Simplifying fractions requires canceling out common factors between the numerator and denominator.
  • #️⃣ Percentages over 100 can be converted into improper fractions or mixed numbers.
  • 🪘 Long division can be used to convert improper fractions into mixed numbers.
  • ✊ Decimal percentages can also be converted into fractions by multiplying the numerator and denominator by the appropriate power of 10.

Transcript

in this lesson we're going to talk about how to convert a percent into a fraction so let's start with 38 how can we convert this into a fraction well you need to know that 38 percent is equivalent to thirty eight divided by a hundred percentages are based out of a hundred now once you have this fraction all you need to do is reduce it both numbers ... Read More

Questions & Answers

Q: How do you convert a percentage into a fraction?

To convert a percentage into a fraction, divide the percentage by 100. Simplify the resulting fraction by canceling out common factors.

Q: How do you simplify a fraction?

To simplify a fraction, find common factors between the numerator and denominator and cancel them out. Continue simplifying until no more factors can be canceled.

Q: Can you convert a percentage over 100 into a fraction?

Yes, percentages over 100 can be converted into fractions. Simplify the fraction by canceling out common factors between the numerator and denominator.

Q: How do you convert an improper fraction into a mixed number?

To convert an improper fraction into a mixed number, divide the numerator by the denominator. The whole number part is the quotient, and the remainder becomes the numerator of the mixed number with the same denominator.

Summary & Key Takeaways

  • Percentages can be converted into fractions by dividing the percentage by 100 and simplifying the resulting fraction.

  • To simplify a fraction, find common factors and cancel them out.

  • Percentages over 100 can be converted into improper fractions or mixed numbers.

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