# Q16, simplifying complex fractions | Summary and Q&A

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October 6, 2016
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blackpenredpen
Q16, simplifying complex fractions

## TL;DR

This video explains how to simplify complex fractions by finding the lowest common denominator and multiplying everything by it.

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### Q: What is the strategy for simplifying complex fractions?

The strategy is to identify the lowest common denominator for the little fractions, which in this case is y², and then multiply everything by it. This ensures that there are no more little fractions in the big fractions.

### Q: How do we determine the lowest common denominator?

To find the lowest common denominator, we look at the little denominators and pick the one with the higher power. In this example, we have y and y², so we choose y² as the lowest common denominator.

### Q: Why do we multiply everything by the lowest common denominator?

Multiplying everything by the lowest common denominator eliminates the little fractions and simplifies the complex fractions. It allows us to combine the terms and simplify further.

### Q: How do we simplify the resulting expression?

Once we have multiplied everything by the lowest common denominator, we combine like terms and simplify the expressions. We can factor and cancel common factors to further simplify, if possible.

## Summary & Key Takeaways

• The video teaches how to simplify complex fractions by identifying the lowest common denominator and multiplying everything by it.

• We focus on the little denominators, in this case y and y², and pick the higher power, which is y², as the lowest common denominator.

• After multiplying everything by the lowest common denominator, we should not have any little fractions in the big fractions anymore.