Question

(2/5 + 4/9 - 2/3) multiplied by 5/2 - 3/5

Answer 1

Explanation:

Least common denominator of 5 , 9 , 3 = 45

`(2)/(5)+(4)/(9)-(2)/(3)=(2*9)/(5*9)+(4*5)/(9*5)-(2*15)/(3*15)\\\\=(18)/(45)+(20)/(45)-(30)/(45)\\\\= (18+20-30)/(45)\\\\= (8)/(45)\\\\`

Least common denominator of 2, 5 = 10

`(5)/(2)-(3)/(5)=(5*5)/(2*2)-(3*2)/(5*2)\\\\=(25)/(10)-(6)/(10)\\\\=(25-6)/(10)\\\\= (19)/(10)`

`((2)/(5)+(4)/(9)-(2)/(3))*((5)/(2)-(3)/(5))=(8)/(45)*(19)/(10)\\\\= (4*19)/(45*5)\\\\= (76)/(225)`