Fractions addition and subtraction trick - do them the fast way!

TL;DR

Learn a simple method to add or subtract fractions with different denominators using multiplication and addition.

Transcript

good day and welcome to the techmath channel in this video what we're going to be having a look at is a way of adding two fractions together uh and then or subtracting two fractions from each other where we have different uh denominators different bottom numbers so I'll show you how to do this it's a really really simple method and this is the way ... Read More

Key Insights

• 🪜 Adding or subtracting fractions with different denominators can be simplified by finding the common denominator and using a multiplication pattern.
• 🗨️ Starting the multiplication pattern from the top left number is crucial to obtaining the correct result.
• 🧑‍🏭 Improper fractions can be simplified further by dividing the numerator and denominator by their greatest common factor.

Questions & Answers

Q: How can I add or subtract fractions with different denominators?

To add or subtract fractions with different denominators, you need to find the common denominator by multiplying the denominators. Then, multiply the numerators according to the multiplication pattern shown in the video. Finally, simplify the fraction or convert it to a mixed number if needed.

Q: Why is it important to start the multiplication pattern from the top left number?

Starting the multiplication pattern from the top left number ensures that the correct numerators are multiplied and added. This pattern follows the diagonal direction, which matches the corresponding denominators. It is crucial for obtaining the correct result.

Q: Can fractions with larger numerators be simplified further?

Yes, fractions with larger numerators can be simplified further if there is a common factor between the numerator and denominator. By dividing both the numerator and denominator by their greatest common factor, the fraction can be simplified to its simplest form.

Q: How do you handle adding or subtracting mixed numbers?

When adding or subtracting mixed numbers, convert them into improper fractions. Multiply the whole number by the denominator, add the result to the numerator, and keep the same denominator. Proceed with the same steps as adding or subtracting fractions with different denominators.

Summary & Key Takeaways

• The video demonstrates a simple method to add or subtract fractions with different denominators by multiplying and adding.

• The process involves finding the common denominator by multiplying the denominators and then multiplying the numerators accordingly.

• The resulting numerator and common denominator are then simplified or converted to a mixed number if necessary.