Simplify 6/7c − 5/9d − 1/2 c + 1/3d pls
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we will combine like terms.
For the terms that involve "c", we have 6/7c - 1/2c. To combine these terms, we need a common denominator. The common denominator for 7 and 2 is 14. So, we need to multiply the first term by 2/2 and the second term by 7/7:
(6/7c)(2/2) - (1/2c)(7/7) = 12/14c - 7/14c = (12 - 7)/14c = 5/14c
For the terms that involve "d", we have -5/9d + 1/3d. Similarly, we need a common denominator for the denominators 9 and 3, which is 9. We multiply the first term by 3/3 and the second term by 9/9:
(-5/9d)(3/3) + (1/3d)(9/9) = -15/27d + 9/27d = (-15 + 9)/27d = -6/27d = -2/9d
Combining both simplified terms, the expression simplifies to:
5/14c - 2/9d