When you see a large fraction, always reduce with the largest factor first.
For example,
What is the value of this expression in decimal form?
Obviously, this is divisible by 2, but we can do better than that. Did you notice that all of them are divisible by 11? If we reduced by 2, we would have to reduce even more, or resort to division. But if we divide using 11, the whole process is 1-step and very fast.