Question

1. convertir 74 311 mm en pieds - pouces et au 16e^n près ;

Explanation:

Step1: Convert mm to inches

First, use the conversion factor: $1\ \text{mm} = \frac{1}{25.4}\ \text{inches}$
$74311\ \text{mm} = 74311 \times \frac{1}{25.4}\ \text{inches} \approx 2925.6299\ \text{inches}$

Step2: Convert inches to feet

Since $1\ \text{foot} = 12\ \text{inches}$, divide total inches by 12 to get feet:
Number of whole feet: $\lfloor \frac{2925.6299}{12}
floor = 243\ \text{feet}$
Remaining inches: $2925.6299 - (243 \times 12) = 2925.6299 - 2916 = 9.6299\ \text{inches}$

Step3: Round to nearest 1/16 inch

Convert decimal to sixteenths: $0.6299 \times 16 \approx 10.0784$, which rounds to 10. So $\frac{10}{16} = \frac{5}{8}$
Rounded inches: $9 + \frac{5}{8} = 9.625\ \text{inches}$

Answer:

$243\ \text{pieds}\ 9\frac{5}{8}\ \text{pouces}$ (or $243'\ 9\frac{5}{8}''$)