First convert the length of the board to an improper fraction by multiplying the whole number part by the denominator and then adding the numerator: 10 2/5 feet = (10 * 5) + 2 = <<10*5+2=52>>52/5 feet
Then convert the length of each birdhouse to an improper fraction: 1 3/10 feet = (1 * 10) + 3 = <<1*10+3=13>>13/10 feet
Then divide the length of the board by the length of each birdhouse to find the number of birdhouses she can make: 52/5 / 13/10 = 52/5 * 10/13 = 520/65 = <<52/5*10/13=8>>8 birdhouses. Answer: \boxed{8}.
Sammie bought a 10 2/5-foot-long board to make birdhouses. If each birdhouse uses 1 3/10 feet, how many birdhouses can she make?
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