Question

(27/25-4/9)-(2/25-5/9)

Answer 1

\(\left(\dfrac{27}{25}-\dfrac{4}{9}\right)-\left(\dfrac{2}{25}-\dfrac{5}{9}\right)\\ =\left(\dfrac{243}{225}-\dfrac{100}{225}\right)-\left(\dfrac{18}{225}-\dfrac{125}{225}\right)\\ =\dfrac{243}{225}-\dfrac{100}{225}-\dfrac{18}{225}+\dfrac{125}{225}\\ =\dfrac{25}{9}\)

Answer 2

`(27/25-4/9)-(2/25-5/9)`

`=(243/225-100/225)-(18/225-125/225)`

`=243/225-100/225-18/225+125/225`

`=143/225-18/225+125/225`

`=125/225+125/225`

`=250/225`

`=10/9`