simplify 6/7c - 5/9d - 1/2c+1/3d

Answer 1

To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we need to combine like terms.

First, let's combine the terms with variables c:

6/7c - 1/2c

To add these terms, we need a common denominator, which is 14.

(6/7c)(2/2) - (1/2c)(7/7)

(12/14c) - (7/14c)

Now we can subtract the fractions:

(12 - 7)/(14c)

5/14c

Next, let's combine the terms with variables d:

-5/9d + 1/3d

To add these terms, we need a common denominator, which is 9.

(-5/9d)(1/1) + (1/3d)(3/3)

(-5/9d) + (3/9d)

Now we can add the fractions:

(-5 + 3)/(9d)

-2/9d

Finally, let's combine the terms with variables c and d:

5/14c - 2/9d

These terms cannot be combined further since they have different variables.

Therefore, the simplified expression is 5/14c - 2/9d.