Answer:
The difference is [tex]\frac{3}{10}[/tex]
Step-by-step explanation:
We must find the common denominator of the fractions.
The common denominator of [tex]\frac{1}{2}[/tex] and [tex]\frac{1}{5}[/tex] is [tex]2*5=10[/tex]; therefore we have
[tex]\frac{1}{2}=\frac{5}{10}[/tex]
[tex]\frac{1}{5} =\frac{2}{10}[/tex]
now it is easy to subtract [tex]\frac{5}{10} -\frac{2}{10}[/tex] using the number line: we have to move [tex]\frac{3}{10}[/tex] units to the left in order to get to [tex]\frac{2}{10}[/tex].
Thus our answer is
[tex]\boxed{\frac{1}{2} -\frac{1}{5}=\frac{3}{10} }[/tex]