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

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.

Answer 2

`1(1)/(4)`

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 =
`(12)/(1) - (10*4+3)/(4) = (48)/(4) - (43)/(4)=(5)/(4)`

5/4 is written as 1 1/4

`1(1)/(4)`