Intermediate Algebra Q15 (with music) | Los Angeles Pierce College math assessment sample

TL;DR

The video explains how to add fractions with different denominators by finding the lowest common denominator and changing the fractions accordingly.

Transcript

number 15 last question here we have X over X plus 2 plus 2 over X minus 2 we are adding out refractions and to add fractions we first have to make sure if the anomalies are the same or not but unfortunately they are not the same in here therefore we have to look for the lowest common denominator first and to do that we do Kennedy now meters and tr... Read More

Key Insights

• 😘 Adding fractions with different denominators requires finding the lowest common denominator.
• 😘 The lowest common denominator is obtained by multiplying the individual denominators.
• 🧑‍🏭 To change the fractions, both the numerator and denominator are multiplied by the necessary factors.
• 🪜 Combining the fractions involves adding the numerators and keeping the denominator the same.
• 🧑‍🏭 Canceling out common factors can simplify the fractions.
• ⏫ It is essential to double-check the final answer by simplifying if possible.
• ❓ Practice and understanding of this concept are crucial for success in intermediate algebra.

Questions & Answers

Q: How do you add fractions with different denominators?

To add fractions with different denominators, find the lowest common denominator by multiplying the individual denominators. Then, multiply both the numerator and denominator of each fraction to match the new denominator. Finally, combine the fractions by adding the numerators and keeping the denominator the same.

Q: What is the purpose of finding the lowest common denominator?

The lowest common denominator is needed to ensure that the denominators of the fractions are the same. This allows for addition or subtraction of the fractions. Without a common denominator, the fractions cannot be combined.

Q: Can you give an example of finding the lowest common denominator?

Let's say we have the fractions 1/3 and 2/5. The denominators are different, so we find the lowest common denominator by multiplying 3 and 5 to get 15. Then, we multiply both fractions to have the denominator of 15, resulting in 5/15 and 6/15.

Q: What do we do after changing the denominators to the lowest common denominator?

After changing the denominators, we can add the fractions by simply adding the numerators while keeping the denominator the same. In the example above, 5/15 + 6/15 equals 11/15.

Summary & Key Takeaways

• To add fractions with different denominators, find the lowest common denominator by multiplying the individual denominators.

• Multiply both the numerator and denominator of each fraction by the necessary factors to change the denominators to the lowest common denominator.

• Combine the fractions by adding the numerators and keeping the denominator the same.