2/3 + 3/5 - 3/5 - 5/2 ayud

the answer of the simplification is -1

Step-by-step explanation:

2/3 + 3/5 - 3/5 - 5/2

= 2/3 - 5/2 (same value but the sign are opposite, so we can eliminate +3/5 and -3/5)

now lcm (3 , 2) = 6

2/3 = (2 X 2)/( 3 X 2) = 4/6

5/2 = (5 X 3)/(2 X 3) = 15/6

now 4/6- 15/6

= (4 - 15)/6

=-11 / 6 ( changing into mixed fraction)

=-1

-1  1/2 (its a simplified mixed number) or if you want it as simplified improper fraction, -3/2

Step-by-step explanation:

I know that +3/5 and -3/5 are exact opposites. I cancel that out so I'm left with 2/3-5/2. I find the least common multiple (LCM) which is 6. I get the denominator to 6 by multiplying 2/3 * 2/2 (3*2=6). I get 4/6. Now I multiply 5/2*3/3 (2*3=6) which is 15/6. Now the denominators are the same so we can go ahead and solve. 4/6-15/6. 4-15=-9/6. 9/6 can be simplified to -3/2 which is also the same as -1 1/2.