# How do you find the least common denominator for rational expressions?

The least common denominator is the least common multiple of denominators.

Example Find the least common denominator to compute:

Let us observe:

Hence,

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To find the least common denominator for rational expressions, follow these steps:

- Factor the denominators of all the rational expressions.
- Identify the common factors and the unique factors in each denominator.
- Take the product of all the unique factors, including the common factors raised to their highest power.
- This product will be the least common denominator for the rational expressions.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you evaluate #-\frac { 1} { 2} + \frac { 2} { 3} + \frac { 3} { 5}#?
- How do you write a rational function if the asymptotes of the graph are at #x=3# and #y=1#?
- How do you solve #(x^2-x-6)/(x+2)+(x^3+x^2)/x=3#?
- Suppose y varies inversely with x. How do you write an equation for the inverse variation for Y = 4 when x = 2.5?
- How do you simplify #(5y^2-20)/(y^2+4y+4)#?

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