Question

2/3x-1/2x 1/4x+1/3x -7/12y-5/6y 8/15y-2/5y

Answer 1

Ответ:

2/3x -1/2x =(4x-3x)/6 = x/6 = 1/6x

1/4x+1/3x=(4x+4x)/12=7x/12=7/12x

-7/12y-2/5y=(-7y-10y)/12=-17/12y

8/15y-2/5y=(8y-6y)/15=2/15y

Answer 2

It seems like you have a series of expressions involving fractions and variables. Let's simplify each of them step by step:

1. 2/3x - 1/2x:

   To subtract these fractions, you need a common denominator, which is 6x. So:

   (2/3x) - (1/2x) = (4/6x) - (3/6x) = (4 - 3)/(6x) = 1/6x

2. 1/4x + 1/3x:

   Again, you need a common denominator, which is 12x. So:

   (1/4x) + (1/3x) = (3/12x) + (4/12x) = (3 + 4)/(12x) = 7/12x

3. -7/12y - 5/6y:

   To subtract these fractions, you need a common denominator, which is 12y. So:

   (-7/12y) - (5/6y) = (-7/12y) - (10/12y) = (-7 - 10)/(12y) = -17/12y

4. 8/15y - 2/5y:

   Again, you need a common denominator, which is 15y. So:

   (8/15y) - (2/5y) = (8/15y) - (6/15y) = (8 - 6)/(15y) = 2/15y

So, the simplified expressions are:

1. 1/6x
2. 7/12x
3. -17/12y
4. 2/15y