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Dividing Fractions With Whole Numbers - The Simple Way!

July 20, 2017
by
The Organic Chemistry Tutor
YouTube video player
Dividing Fractions With Whole Numbers - The Simple Way!

TL;DR

Learn how to divide fractions with whole numbers using the keep change flip principle.

Transcript

in this video we're going to talk about how to divide fractions with whole numbers so let's start with this example how can we divide 4 over 9 by 3 what do you think well the first thing you could do is you can convert the whole number into a fraction three is the same as three over one and then you can use the keep change flip principle which i ta... Read More

Key Insights

  • #️⃣ Dividing a fraction by a whole number requires converting the whole number to a fraction and using the keep change flip principle.
  • 🗂️ Simplify fractions after dividing if possible by finding the greatest common divisor.
  • 🪘 Improper fractions can be converted to mixed numbers using either addition or long division.
  • #️⃣ Some answers may simplify to whole numbers, while others remain as fractions or improper fractions. It depends on the specific numbers being divided.

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Questions & Answers

Q: How do you divide a fraction by a whole number?

To divide a fraction by a whole number, convert the whole number to a fraction by placing it over 1. Then, use the keep change flip principle and multiply the numerators and denominators.

Q: Can you simplify the resulting fraction after dividing?

Yes, if the resulting fraction can be simplified, you should simplify it. Find the greatest common divisor of the numerator and denominator and divide them by it to simplify the fraction.

Q: Are all the answers in the video in fractional form?

No, some answers can be simplified to whole numbers, while others remain as fractions or improper fractions. It depends on the numbers being divided.

Q: How can you convert an improper fraction to a mixed number?

There are two methods demonstrated in the video. One is to divide the numerator by the denominator and express the remainder as a fraction. The other method is to use long division to find the quotient and remainder.

Summary & Key Takeaways

  • To divide a fraction by a whole number, convert the whole number to a fraction (using it over 1) and apply the keep change flip principle.

  • Multiply the numerators and denominators after converting, and simplify if possible.

  • Improper fractions can be converted to mixed numbers using either addition or long division.


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