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Adding Fractions

156.3K views
•
November 5, 2009
by
tecmath
YouTube video player
Adding Fractions

TL;DR

Learn how to add and subtract fractions with the same and different bottom numbers, as well as mixed numbers, using equivalent fractions and simplification techniques.

Transcript

hello and welcome to adding and subtracting fractions we'll get straight into it the first one we're going to be looking at is how to add fractions with the same bottom number and the example here is 1/8 plus 38 we looking at nice little Pages down there if you have one e of a pizza and you have three eights of a pizza all up you have four eights o... Read More

Key Insights

  • #️⃣ Adding fractions with the same bottom number only involves adding the top numbers and keeping the bottom number the same.
  • #️⃣ Adding fractions with different bottom numbers requires finding a common bottom number using equivalent fractions.
  • 🪜 When adding mixed numbers, convert them into improper fractions and follow the same steps as adding fractions.
  • #️⃣ Subtraction of fractions and mixed numbers involves subtracting the top numbers and keeping the bottom number the same.
  • ❓ Simplification can be done after completing the addition or subtraction to make the answer easier to understand.
  • 🪜 Understanding equivalent fractions is crucial in adding fractions with different bottom numbers.
  • 👻 Converting mixed numbers into improper fractions allows for easier addition and subtraction.

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Questions & Answers

Q: How do you add fractions with the same bottom number?

To add fractions with the same bottom number, simply add the top numbers and keep the bottom number the same. For example, 1/8 + 3/8 = 4/8, which simplifies to 1/2.

Q: What should you do when adding fractions with different bottom numbers?

When adding fractions with different bottom numbers, find a common bottom number by using equivalent fractions. Multiply both the top and bottom numbers of each fraction by factors that will make the bottom numbers the same. Then, add the top numbers together and keep the common bottom number.

Q: How do you add mixed numbers?

To add mixed numbers, first convert them into improper fractions. Then, make the bottom numbers the same using equivalent fractions. Finally, add the top numbers and keep the common bottom number.

Q: How do you subtract fractions or mixed numbers?

Subtraction follows a similar process to addition. For fractions, subtract the top numbers and keep the bottom number the same. For mixed numbers, convert them into improper fractions, subtract the top numbers, and keep the bottom number the same.

Summary & Key Takeaways

  • To add fractions with the same bottom number, simply add the top numbers and keep the bottom number the same.

  • When adding fractions with different bottom numbers, find a common bottom number by using equivalent fractions.

  • To add mixed numbers, convert them into improper fractions, make the bottom numbers the same, and then follow the same steps as adding fractions.

  • Subtraction of fractions and mixed numbers follows a similar process, where you subtract the top numbers and keep the bottom number the same.


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