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