Simplify 6/7c − 5/9d − 1/2 c + 1/3
To simplify the expression 6/7c − 5/9d − 1/2c + 1/3, we can combine like terms.
First, let's combine the terms with c:
6/7c - 1/2c = (12/14)c - (7/14)c = (12 - 7)/14c = 5/14c
Next, let's write the expression again considering the combined c term:
5/14c - 5/9d + 1/3
Now, let's find a common denominator for the remaining terms, which is 14 * 9 * 3 = 378:
(5 * 27)/(14 * 27c) - (5 * 42)/(9 * 42d) + (1 * 126)/(3 * 126)
Simplifying further, we get:
135/378c - 210/378d + 126/378
Since all the terms have the same denominator, we can combine them:
135 - 210 + 126 = 51/378
Therefore, the simplified expression is 51/378.