Simplify 6/7c - 5/9d - 1/2 c + 1/3d
1. 5/14c - 2/9d
2. 5/14c + 2/9d
3. 5/9c - 4/12d = 5/9c - 1/3d
4. 5/9c + 4/12 = 5/9c + 1/3d
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we can combine like terms by using the distributive property. We can combine the terms with "c" and the terms with "d" separately.
Combining the terms with "c":
6/7c - 1/2c is equal to (6/7 - 1/2)c.
To add these fractions, we need a common denominator. The least common multiple of 7 and 2 is 14.
So, (6/7 - 1/2)c = (12/14 - 7/14)c = 5/14c.
Combining the terms with "d":
-5/9d + 1/3d is equal to (-5/9 + 1/3)d.
To add these fractions, we need a common denominator. The least common multiple of 9 and 3 is 9.
So, (-5/9 + 1/3)d = (-5/9 + 3/9)d = -2/9d.
Now, we have simplified the expression to 5/14c - 2/9d, which matches option 1.