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

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

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:41 pm ad1c9bdddfhttps://brainmass.com/math/algebra/find-the-lcd-for-a-given-rational-expression-reduce-to-the-lowest-terms-57042

#### Solution Summary

In a very careful solution, all the formulas are given to solve the problems including calculations of the answers.