Evaluate 2/3 + -4/5 + 1/3 + 2/5

We have to perform the arithmetic operations on rational numbers.

Answer: 2/3 + - 4/5 + 1/3 + 2/5 evaluates to 3/5

We can group the like terms and add and then evaluate 2/3 + -4/5 + 1/3 + 2/5

Explanation:

step 1: let us group the like terms and perform the addition

2/3 + 1/3 = 1

2/5 + (-4/5) = (2+(- 4))/5 = -2/5

So, 2/3 + -4/5 +1/3 +2/5

= 1- 2/5

Converting 1 to a fractional form with denominator 5

1 = 5/5

 1- 2/5 = 5/5 - 2/5

= 3/5

Thus , 2/3 + - 4/5 + 1/3 + 2/5 evaluates to 3/5