Question

Help I need the answer fast!

Answer 1

PEMDAS "P" is first, "E" second and then "D" is last

`16/ \left( 2+(1)/(2) \right)^2\implies 16/ \left( (2)/(1)+(1)/(2) \right)^2\implies 16/ \left( \cfrac{4+1}{\underset{\textit{using this LCD}}{2}} \right)^2 \\\\\\ 16/\left( \cfrac{5}{2} \right)^2\implies 16/\cfrac{5^2}{2^2}\implies 16/\cfrac{25}{4}\implies \cfrac{16}{1}/\cfrac{25}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{25}\implies 2(14)/(25)`

Answer 2

2 14/25

Explanation:

16/(2+1/2)^2 . simplify 2+1/2 to 5/2

16/(5/2)^2

16/5^2/2^2

16/25/4

16*4/25

64/25

2 14/25