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Fraction to Percent Conversion

July 22, 2017
by
The Organic Chemistry Tutor
YouTube video player
Fraction to Percent Conversion

TL;DR

Learn how to convert fractions into percentages using two methods: converting the denominator into 100 and converting the fraction into a decimal.

Transcript

in this video we're going to talk about how to convert a fraction into a percentage so let's start with a fraction 2 over 5. how can we convert that into a percentage we're going to talk about two ways but the first method is to convert the denominator into a hundred in order to do that we need to multiply the top and the bottom by twenty five time... Read More

Key Insights

  • ❓ There are two methods for converting fractions into percentages: converting the denominator to 100 or converting the fraction to a decimal.
  • 🧑‍🏭 The first method involves adding a factor to the fraction to make the denominator equal to 100, resulting in the numerator being the percentage.
  • 😒 The second method uses long division to convert the fraction into a decimal, which can then be multiplied by 100 to obtain the percentage.
  • ✖️ Converting mixed fractions into percentages requires converting the fractional part into a decimal and then multiplying by 100.
  • 👉 Converting decimals into percentages involves multiplying by 100 and moving the decimal point two places to the right.
  • 🎮 The video also mentions an algebra course available on Udemy for further learning on related topics.
  • 🪈 Topics covered in the algebra course include basic arithmetic, fractions, linear equations, order of operations, graphing, inequalities, polynomials, system of equations, quadratic equations, and more.

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Questions & Answers

Q: What is the first method for converting fractions into percentages?

The first method involves multiplying the fraction by a factor to make the denominator equal to 100. The resulting numerator is the equivalent percentage.

Q: How can you convert a fraction with an incompatible denominator into a percentage?

If the denominator cannot be easily converted into 100, you can use the second method. Convert the fraction into a decimal using long division and multiply by 100 to get the percentage.

Q: What is the process for converting a mixed fraction into a percentage?

To convert a mixed fraction into a percentage, first convert the fractional part into a decimal using long division. Then, multiply the decimal by 100 to obtain the percentage.

Q: How can you convert a decimal into a percentage?

To convert a decimal into a percentage, multiply it by 100 and move the decimal point two places to the right.

Summary & Key Takeaways

  • The video discusses two methods for converting fractions into percentages: multiplying the fraction by a factor to get a denominator of 100 and converting the fraction into a decimal and then multiplying by 100.

  • The first method involves multiplying the fraction by a factor to make the denominator equal to 100. The resulting numerator is the equivalent percentage.

  • The second method uses long division to convert the fraction into a decimal and then multiply by 100 to obtain the percentage.


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