To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we need to combine like terms.
We can combine the terms with c by combining 6/7c and -1/2c. The common denominator for 7c and 2c is 14c, so we need to multiply the numerator and denominator of -1/2c by 7/7 to get -7/14c.
Similarly, we can combine the terms with d by combining -5/9d and 1/3d. The common denominator for 9d and 3d is 9d, so we need to multiply the numerator and denominator of -5/9d by 3/3 to get -15/27d, which simplifies to -5/9d.
So, our expression becomes:
6/7c - 5/9d - 1/2c + 1/3d
= (6/7c - 1/2c) + (-5/9d + 1/3d)
= (12/14c - 7/14c) + (-15/27d + 9/27d)
= 5/14c + 2/9d
Therefore, the simplified expression is 5/14c + 2/9d, which is option B.
Simplify 6/7c - 5/9d - 1/2c + 1/3d
A. 5/14c - 2/9d
B. 5/14c + 2/9d
C. 5/9c + 4/12d = 5/9 + 1/3d
D. 5/9c - 4/12d = 5/9c - 1/3d
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3 answers