Answer:
6[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
First, we can start by figuring out how many nails can be produced by 1 machine in 15 minutes. Since 3 machines can produce 16 [tex]\frac{1}{5}[/tex] nails per 15 minutes, we can figure this out by dividing the number of nails produced by 3.
16 [tex]\frac{1}{5}[/tex] divided by 3 equals [tex]\frac{81}{48}[/tex] which can be simplified to 1 [tex]\frac{11}{16}[/tex]. This means that in 15 minutes, one machine can produce 1 [tex]\frac{11}{16}[/tex] nails. Since 15 minutes is 1/4 of an hour, we multiply the nails and minutes by 4, and 1[tex]\frac{11}{16}[/tex] times 4 equals 6[tex]\frac{3}{4}[/tex]. Therefore, 1 machine can produce 6[tex]\frac{3}{4}[/tex] nails in one hour.
