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

We have to evaluate 2/3 + 1/3 + -4/5 + 2/5

Solution

Firstly group the rational numbers with same denominators

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

(2+1)/3 + (-4+2)/5

3/3 + -2/5

1/1 + -2/5

By taking LCM for 1 and 5 we get, 5

(1×5)/(1×5) + (-2×1)/(5×1)

5/5 + -2/5

Since the denominators are same can be added directly

(5-2)/5 = 3/5

Answer

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

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