To find the number of inches in [tex]\( 6 \frac{3}{4} \)[/tex] feet, follow these steps:
1. Convert the whole feet portion to inches:
Each foot contains 12 inches.
Therefore, [tex]\( 6 \)[/tex] feet is:
[tex]\[
6 \times 12 = 72 \text{ inches}
\][/tex]
2. Convert the fractional feet portion to inches:
To find how many inches are in [tex]\( \frac{3}{4} \)[/tex] of a foot, multiply [tex]\( \frac{3}{4} \)[/tex] by 12 inches (since one foot contains 12 inches):
[tex]\[
\frac{3}{4} \times 12 = 9 \text{ inches}
\][/tex]
3. Add the two quantities together:
Adding the inches from the whole feet and the fractional part:
[tex]\[
72 + 9 = 81 \text{ inches}
\][/tex]
Therefore, the total number of inches in [tex]\( 6 \frac{3}{4} \)[/tex] feet is:
[tex]\[
\boxed{81}
\][/tex]
