Answer:
[tex]\frac{21}{8}[/tex]
Step-by-step explanation:
Given: [tex]3\frac{1}{8} - \frac{1}{2}[/tex]
Let's changed that mixed number to an improper fraction. Now we get:
[tex]\frac{25}{8} - \frac{1}{2}[/tex]
Let's find out least common denominator. This one is easy, the LCD is 8. Now that we know the LCD, let's convert both our fractions:
[tex]\frac{25}{8} - \frac{4}{8}[/tex]
We can use [tex]\frac{4}{8}[/tex] because it is equal to [tex]\frac{1}{2}[/tex]. Now, all we need to do is subtract the numerators:
[tex]\frac{25}{8} - \frac{4}{8}=\frac{21}{8}[/tex]
