Question

Sandy is Working with a carpenter to frame a house. They are using 8 foot long boards, but each board must be cut to be 7 feet, 10 3/4 inches long. How much is cut off each board?
a. 3/4
b. 1 1/4
c. 1 3/4
d. 7

Answer 1

Answer:

$1\frac{1}{4}$

Step-by-step explanation:

Working with a carpenter to frame a house. They are using 8 foot long boards.

each board must be cut to be 7 feet  10 3/4 inches long

to find how much is cut off each board. we need to subtract 7 feet 10 3/4 inches from 8

8 feet - 7 feet = 1 feet

we know 1 feet = 12 inches

now we subtract 10 3/4 from 1 feet

12 inches - 10 3/4 inches = $\frac{12}{1} - \frac{10*4+3}{4} = \frac{48}{4} - \frac{43}{4}=\frac{5}{4}$

5/4 is written as 1  1/4

$1\frac{1}{4}$

Answer 2

8 feet minus 7 feet, 10 3/4 inches is equal to 1 foot minus 10 3/4 inches, or 12-(10 3/4) inches. This is 1 1/4 inches.