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# Find the LCD for a given rational expression; reduce to the lowest terms

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Find the LCD for the given rational expression, and convert each rational expression into an equivalent rational expression with the LCD as the denominator.

Page 345

# 47. x y 1
----, ------, ------
9y^5 12x^3 6x^2y

# 48 5 3b 1
-------, -------, ----------
12a^6b 14a ^3 2ab^3

Page 346

# 53.. x 5x
--------, -----------
X^2- 9 x^2 -6x +9

# 54. 5x -4
----------, -------------
X^2 - 1 x^2 -2x + 1

# 57. -5 x 3
-------, -------,---------
6x -12 x^2 -4 2x + 4

Perform the indicated operation. Reduce each answer to lowest terms.

Page 353

# 49. 3 2
-------- -- ---------
2a -2 1 -a

# 53. 3 4
------------- + -------------
X^2 + x - 2 x^2 + 2x -3

#57. 5 3 4
--------- -- --- + ----------
3a -9 2a a^2 - 3a

# 62. Traveling time. After leaving Moose Jaw, Hanson drove 200kilometers at x Km/hr and then decreased his speed by 20 Km/hr and drove 240 additional kilometers, make a table. Write a rational expression for his total traveling time. Evaluate the expression for x = 100