Tuesday

May 31, 2016
Posted by **Bonnie** on Sunday, August 8, 2010 at 9:02pm.

3/w+4 + 4/5w

would the answer be 7/4+5w?

- Math -
**bobpursley**, Sunday, August 8, 2010 at 9:04pmNo. What is the common denominator?

- Math -
**Timothy**, Sunday, August 8, 2010 at 9:14pmI think it would be 20 right?

- Math -
**jai**, Monday, August 9, 2010 at 1:34amnope. 20 is not the common denominator,,

on the given, i think you mean 3/(w+4) + 4/5w ,,

first thing, multiply BOTH the numerator and denominator of the terms with their common denominator, which is (w+4)(5w),, therefore,

(3/(w+4) + 4/5w)*(5w)(w+4)/(5w)(w+4) ==> some terms will cancel out, leading to

(3(5w) + 4(w+4))/(w+4)(5w)

simplifying, you will get:

(19w+16)/(5w^2+20w)

note: the multiplier (5w)(w+4)/(5w)(w+4) is equal to one, and therefore will not alter the original given,, =)

*another alternative would be to use cross-multiplication,, you will get the same answer after simplifying,, =)