Simplify 6/7c − 5/9d − 1/2 c + 1/3d (1 point)
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, first combine like terms.
The coefficients of c are 6/7 and -1/2, so we can write them as fractions with a common denominator:
(6/7)c - (1/2)c = (12/14)c - (7/14)c = (12 - 7)/14c = 5/14c
The coefficients of d are -5/9 and 1/3, so we can write them as fractions with a common denominator:
(-5/9)d + (1/3)d = (-15/27)d + (9/27)d = (-15 + 9)/27d = -6/27d = -2/9d
Putting it all together, the simplified expression is: 5/14c - 2/9d (Answer)