Simplify 6/7c − 5/9d − 1/2 c + 1/3d. (1 point)
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we can combine like terms.
First, let's combine the terms with "c": 6/7c - 1/2c = (6/7 - 1/2)c
To determine the common denominator for 7 and 2, we find the least common multiple (LCM) of 7 and 2, which is 14.
Now, we can write 6/7 as an equivalent fraction with a denominator of 14: (6/7) * (2/2) = 12/14
Similarly, we can write 1/2 as an equivalent fraction with a denominator of 14: (1/2) * (7/7) = 7/14
Therefore, (6/7 - 1/2)c = (12/14 - 7/14)c = (5/14)c
Next, let's combine the terms with "d": -5/9d + 1/3d = (-5/9 + 1/3)d
To determine the common denominator for 9 and 3, we find the LCM of 9 and 3, which is 9.
Now, we can write -5/9 as an equivalent fraction with a denominator of 9: (-5/9) * (1/1) = -5/9
Similarly, we can write 1/3 as an equivalent fraction with a denominator of 9: (1/3) * (3/3) = 3/9
Therefore, (-5/9 + 1/3)d = (-5/9 + 3/9)d = (-2/9)d
Putting it all together, the simplified expression is (5/14)c - (2/9)d.