Fractions addition and subtraction the fast way with mixed numbers - cool math trick!

TL;DR

Learn how to add fractions of mixed numbers with different denominators using a simple and efficient technique.

Transcript

good night welcome to the tech math Channel what we're going to be having a look at in this video is how to add uh fractions of mixed numbers okay uh with different denominators so a bit of a few things there and we'll we'll have of a look okay so I'll start to do these this is how to do these really really quickly without having to worry about uh ... Read More

Key Insights

• 🪜 Converting mixed numbers to improper fractions is the first step in adding or subtracting fractions.
• 💨 Multiplying the denominators together provides a simple way to find the common denominator.
• ✖️ Multiplying the numerators diagonally ensures accurate calculation.
• 😑 Simplifying the resulting fraction helps express it in the simplest form.

Questions & Answers

Q: How do you convert mixed numbers into improper fractions?

To convert a mixed number into an improper fraction, multiply the whole number by the denominator and add it to the numerator, keeping the denominator the same.

Q: What is the easiest way to find the common denominator?

Instead of finding the lowest common denominator, multiply the two denominators together to get the common denominator.

Q: Why is it important to start multiplying diagonally from the top left?

Starting from the top left ensures that the numerator is always multiplied with the corresponding denominator. This method ensures accuracy when adding or subtracting fractions.

Q: Can you simplify the resulting fraction after adding or subtracting?

Yes, if the resulting fraction is improper, it can be simplified further by finding any common factors between the numerator and denominator and dividing them.

Summary & Key Takeaways

• The video explains how to add fractions of mixed numbers without finding the lowest common denominator.

• The first step involves converting mixed numbers into improper fractions.

• Then, the denominators are multiplied together, and the numerators are multiplied diagonally to obtain the final sum.