The end of the road is 15/16 of a mile away. Luke walked 7/8 of a mile down the road. How much further did he need to walk?

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1/16 or 0.5/8 of a mile
This is simple to figure out just reverse what they have already simplified. 8 can go into 16 twice. So....
8×2=16 
7×2=14
7/8 also equals 14/16
14/16 to 15/16
So... Luke needed to walk 1/16 of a mile.