Description
I need to learn how to find the least common denominator with 3 different fractions that have variables included.
Explanation & Answer
Thank you for the opportunity to help you with your question!
Example:
3/x + 2/(x+1) + 5/(x+2)
The least common denominator is the product of the 3 denominators:
LDC = x(x+1)(x+2)
Now we have to multiply each fraction by the missing part of the LCD:
(3/x)(x+1)(x+2)/(x+1)(x+2) + (2/(x+1))(x(x+2)/x(x+2) + (5/(x+2)(x/(x+1)/x(x+2))
= [3(x+1)(x+2) + 2x(x+2) + 5x(x+1)] / x(x+1)(x+2)
= [3x^2+9x+6+2x^2+2x+5x^2+5] / x(x+1)(x+2)
= 10x^2+11x+11 / x(x+1)(x+2)
Review
Review
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Similar Content
Related Tags
The Girl With The Dragon Tattoo
by Stieg Larsson
The Joy Luck Club
by Amy Tan
Calypso
by David Sedaris
The Eyes Were Watching God
by Zora Neale Hurston
Divergent
by Veronica Roth
And Then There Were None
by Agatha Christie
Big Little Lies
by Liane Moriarty
The Underground Railroad
by Colson Whitehead