Add.
3/w+4 + 4/5w
would the answer be 7/4+5w?
No. What is the common denominator?
I think it would be 20 right?
nope. 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,, =)
To add the fractions 3/w + 4/5w, we need to find a common denominator. The common denominator is the least common multiple (LCM) of the denominators.
In this case, the denominators are w and 5w. The LCM of w and 5w is 5w because it includes both terms and is the smallest possible multiple.
Next, we need to convert each fraction to have the common denominator of 5w. Multiply the numerator and denominator of the first fraction, 3/w, by 5 to get (3*5)/(w*5) = 15/5w.
Multiply the numerator and denominator of the second fraction, 4/5w, by w to get (4*w)/(5w*w) = 4w/5w^2.
Now that both fractions have the common denominator 5w, we can add them together:
(15/5w) + (4w/5w^2)
To add the fractions, we need to have the same denominator, which is 5w^2:
(15w + 4w) / (5w^2)
Simplifying the numerator, we have:
(19w) / (5w^2)
So the final answer is 19w / 5w^2.