Answer:
![(21)/(8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gq431geqp9kqu36cmx8dzx8u0ol14oroul.png)
Explanation:
Given:
![3(1)/(8) - (1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dmwv5wrrf837ngoevoe3ce9mw796cdwqdz.png)
Let's changed that mixed number to an improper fraction. Now we get:
![(25)/(8) - (1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a1a1180xml9de2zl79tm6tcje8qjqakz0t.png)
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:
![(25)/(8) - (4)/(8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/f9dit1l2gzvhu7stgwkj08qrevu1ni1n6l.png)
We can use
because it is equal to
. Now, all we need to do is subtract the numerators:
![(25)/(8) - (4)/(8)=(21)/(8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7dc5bgkikshp8yo4bze7jia12bwhfsc014.png)