Given that Jessica attends summer camp at a distance of four hundred twenty-three and four tenth mile = [tex]423\frac{4}{10} = 423 + \frac{4}{10} = 423+0.4 = 423.4 miles[/tex]
And a detour adds 10 miles to the distance.
That means we need to add 10 miles to the given distance.
So new distance = 423.4 + 10 = 433.4 miles
Hence Jessica needs to travel 433.4 miles for summer camp.