To solve for [tex] \frac{1}{2}- \frac{1}{10} [/tex] You first need to find a common denominator.
To do so, you need to make both denominators 10 by multiplying the top and bottom of [tex] \frac{1}{2} [/tex] by 5
[tex] \frac{5}{10}- \frac{1}{10} [/tex]=[tex] \frac{4}{10} [/tex] Reduce by dividing both the top and bottom by 2
Your answer is [tex] \frac{2}{5} [/tex]