Question

Simplify:
-11/12+3/-8+1/4​

Answer 1

Answer:

Step-by-step explanation:

The given expression is,

-11/12 + 3/(-8) + 1/4

= -11/12 - 3/8 + 1/4      (multiply + and -, as result second term sign would be -)

Find the LCM of all three denominators 12, 8, 4.

12 = 3 * 2 * 2

8 = 2 * 2 * 2

4 = 2 * 2

Then LCM of 12,8,4  = 3*2*2*2= 24

Now,

-11/12 - 3/8 + 1/4 = (-11 * 2) / (12*2) - (3*3) / (8*3) + ((1*6) / (4*6))

                          = -22/24 - 9/24 + 6/24

                          =(-22-9+6) / 24   (Take the common denominator)

                          = -25/24