Respuesta :
Answer:
[tex]\frac{25}{4}[/tex]
Step-by-step explanation:
You have to use Order of Operations so you MUST multiply first which gave me [tex]\frac{2}{25}[/tex] and in order to divide that you must make it a reciprocal and that's how I got the answer
Divide by a fraction means the same as multiply by its reciprocal.
[tex]\dfrac{1}{2}\div\dfrac{1}{5}\times\dfrac{2}{5}=\dfrac{1}{2}\times\dfrac{5}{1}\times\dfrac{2}{5}\\\\=\dfrac{1}{\not2_1}\times\dfrac{5}{1}\times\dfrac{\not2^1}{5}=\dfrac{1}{1}\times\dfrac{\not5^1}{1}\times\dfrac{1}{\not5_1}=1\times1\times1=1\\\\Answer:\ \boxed{\dfrac{1}{2}\div\dfrac{1}{5}\times\dfrac{2}{5}=1}[/tex]