3/w+1 + 2/3w= ?
would the answer be 5/4w+1
To solve the given equation, we need to find a common denominator for the fractions and then combine them. Let's go through the steps:
1. Find a common denominator for the fractions, which is the least common multiple (LCM) of the denominators 3w and 3:
LCM(3w, 3) = 3w
2. Rewrite each fraction with the common denominator:
(3/w) * (3w/w) + (2/3w) * (w/w) = (9w + 2w) / (3w)
3. Combine the fractions on the left side of the equation:
(9w + 2w) / (3w) = (11w) / (3w)
Therefore, the simplified expression is 11w / 3w, which cannot be further simplified.
So, the answer to the equation 3/w+1 + 2/3w is 11w / 3w.