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To find James's speed in miles per hour, we use the formula:
Speed = Distance / Time
James ran 4 2/3 miles in 3/4 of an hour:
Distance = 4 2/3 = 14/3 miles
Time = 3/4 hour
Now we plug these values into our formula:
Speed = (14/3) / (3/4)
Speed = (14/3) * (4/3)
Speed = 56/9
Speed = 6 2/9 miles per hour
Therefore, James's speed is 6 2/9 miles per hour.