Question

%7D%7B5%7D%20" id="TexFormula1" title=" \frac{1}{2} \div \frac{1}{5} \times \frac{2}{5} " alt=" \frac{1}{2} \div \frac{1}{5} \times \frac{2}{5} " align="absmiddle" class="latex-formula">

Answer 1

Divide by a fraction means the same as multiply by its reciprocal.

$\dfrac{1}{2}\div\dfrac{1}{5}\times\dfrac{2}{5}=\dfrac{1}{2}\times\dfrac{5}{1}\times\dfrac{2}{5}\\\\=\dfrac{1}{\not2_1}\times\dfrac{5}{1}\times\dfrac{\not2^1}{5}=\dfrac{1}{1}\times\dfrac{\not5^1}{1}\times\dfrac{1}{\not5_1}=1\times1\times1=1\\\\Answer:\ \boxed{\dfrac{1}{2}\div\dfrac{1}{5}\times\dfrac{2}{5}=1}$

Answer 2

Answer:

$\frac{25}{4}$

Step-by-step explanation:

You have to use Order of Operations so you MUST multiply first  which gave me $\frac{2}{25}$ and in order to divide that you must make it a reciprocal and that's how I got the answer