Preheat oven to 350F.
Peel and halve the potatoes in half. Place them on a chopping board, cut side down. Slice the potatoes one at the time thinly, but be careful not to cut through the potatoes. I place a chopstick along each sides of the potato to prevent the knife going all the way through.
Combine the oil and the melted butter. Place the potatoes cut side down on a lined baking dish in a single layer. Coat the potatoes with the oil and butter mixture using a brush.
Bake for 45 minutes basting frequently with the remaining oil and butter. Combine the crumbs and the grated cheddar cheese.
After 45 minute sprinkle the potatoes with a little salt and the combine crumbs and cheddar cheese. Bake for an extra 15 minutes or until golden brown.