8/10 is less or greater than 3/8

Let's find a common factor for the two denominators (10 and 8) to make the two fractions combinable. 

We need to find a number that can be divisible by 10 and 8 (denominators). Right off the bat, we can just multiply the two numbers and get 8 x 10 = 80.
Then let's make the numerators correspond to the denominators.

8/10 = x/80 Set up a proportion.
10x = 640   Cross-multiplication.
 x = 64         Divide and simplify.

3/8 = x/80  Set up a proportion.
8x = 240    Cross-multiplication.
x = 30        Divide and simplify.

Now we have 64/80 (originally 8/10) and 30/80 (originally 3/8). Now which one is the larger number?

64/80 > 30/80
8/10 > 3/8

8/10 would be greater because 3/8 is not as close as 8/10 to being a whole the one that's closest to a whole is always the answer. Hope It helped!