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Solve It! At 3 P.M., four runners all leave the starting line, running laps around the indoor track.

If the runners maintain their pace, at what time with Sue, Drew, and Stu finish a lap together?
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Take Note: What is a least common multiple?
Take Note: Write two whole numbers with a least common multiple of 21.
Take Note: Write two variable expressions with a least common multiple of

Problem 1 Got It?

Problem 1 Got It?
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Take Note: What is a least common denominator?
Take Note: Write two fractions with a least common denominator of 15.
Take Note: Write two rational expressions with a least common denominator of
Problem 2 Got It? Consider the expression below and use it to match responses from the left to the items on the right.
x ≠ -1
x ≠ 0
x ≠ 1
x ≠ 2
What is the sum of the two rational expressions in simplest form?
Identify any restriction(s) on the variable.
Problem 2 Got It? Consider the expression below and use it to match responses from the left to the items on the right.
x ≠ -2
x ≠ -1
x ≠ 1
x ≠ 2
What is the sum of the two rational expressions in simplest form?
Identify any restriction(s) on the variable.
Problem 2 Got It? Reasoning: Is it possible to add the rational expressions in Problem 2 by finding a common denominator, but not the least common denominator? Explain.

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Take Note: Summarize the process of subtracting rational expressions that is demonstrated in Problem 3.

Problem 3 Got It?

Problem 3 Got It?
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Take Note: Define complex fraction.
Take Note: Provide an example of a complex fraction.
Take Note: Provide an example of a rational expression that is NOT a complex fraction.
Take Note: Which method, Method 1 or Method 2, do you prefer for simplifying the complex fraction in Problem 4? Explain.

Problem 4 Got It?
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Problem 5 Got It? Suppose Option 3 is to buy a new hybrid that will get double the mileage of the present hybrid. The SUV mileage stays the same. Which of the three options will give the best combined mpg?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?