Write as a single fraction c 6d9c 8c 7d6c 1 Simplify you

Write as a single fraction. -c + 6d/9c + 8c + 7d/6c - 1 Simplify your answer as much as possible.

Solution

- ( c+ 6d) / 9c + ( 8c + 7d ) / 6c - 1

taking lcd as 18 c

multiplying top and bottom of 1st fraction by 2 and 2nd fraction by 3 and 3rd by 18c

- 2(c+6d) / 18c + 3( 8c+7d) / 18c - 18c / 18c

{ -2c - 12d + 24 c + 21 d - 18c } / 18c

{ -2c+24c-18c-12d+21d} / 18c

adding like terms in the numerator

= (4c + 9d )/18c

= (4c+9d)/18c