Question

[2/5*4/5]+[8/9*10/9]-[1/3*3/5] simplify and write the answer in the simplest form​

Answer 1

$\bold{[\frac{2}{5}\times \frac{4}{5}]+[\frac{8}{9}\times \frac{10}{9}]-[\frac{1}{3}\times \frac{3}{5}]}$

= $\bold{[\frac{8}{25}]+[\frac{80}{81}]-[\frac{3}{15}]}$

= $\bold{\frac{2648}{2025}-\frac{3}{15}}$

= $\bold{\frac{39720-6075}{2025\times15}}$

= $\bold{\frac{33645}{30375}}$

= $\bold{\frac{6729}{6075}}$

= $\bold{\frac{2243}{2025}}$

Therefore the answer is $\boxed{\bold{\frac{2243}{2025}}}$