Simplifying Complex Fractions - SAT Math Part 20

TL;DR

Learn how to simplify complex fractions by multiplying the top and bottom of the fraction by the common denominator.

Transcript

71 which of the following answer choices is equivalent to the expression shown below so what we have here is a complex fraction how can we simplify this complex fraction what do you recommend that we should do so feel free to pause the video and try this problem yourself what i like to do in a situation like this is i like to clear away all the fra... Read More

Key Insights

• 💨 Clearing away fractions within a complex fraction involves multiplying the top and bottom by the common denominator.
• 🛩️ The common denominator is obtained by analyzing the denominators of the smaller fractions.
• 😑 After multiplying, simplify the expression by combining like terms and factoring if necessary.
• 🅰️ The process of simplifying complex fractions can be applied to various types of problems.
• ❓ Understanding how to simplify complex fractions is essential in solving math problems.
• ⏫ It is important to double-check and verify the answer choice that corresponds to the simplified fraction.
• 💦 The process of simplification saves time and makes complex fractions easier to work with.

Questions & Answers

Q: How do you simplify complex fractions?

To simplify complex fractions, multiply the top and bottom of the fraction by the common denominator.

Q: What is the purpose of multiplying by the common denominator?

Multiplying by the common denominator helps cancel out the fractions within the larger fraction.

Q: How do you determine the common denominator?

The common denominator is identified by analyzing the denominators of the smaller fractions within the larger fraction.

Q: What should be done after multiplying by the common denominator?

After multiplying, simplify the expression by combining like terms and possibly factoring out common factors.

Summary & Key Takeaways

• The video discusses the process of simplifying complex fractions.

• To simplify the fraction, the common denominator is identified.

• The top and bottom of the fraction are multiplied by the common denominator to cancel out the fractions and simplify the expression.