A 5 7/8 ft section of wood was cut from 9 1/2 ft board. How much of the original board remained.
9 1/2 = 9 4/8 = 8 12/8
8 12/8 - 5 7/8 = 3 5/8
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To determine how much of the original board remained, we need to subtract the length of the section that was cut from the length of the original board.
The original board length is given as 9 1/2 ft.
To subtract the length of the section that was cut from the original board, we need to subtract 5 7/8 ft from 9 1/2 ft.
To subtract fractions, we need to have a common denominator. In this case, the common denominator of 2 and 8 is 8.
Converting 9 1/2 ft to an improper fraction:
9 1/2 = (9 * 2 + 1)/2 = 19/2
Now let's subtract 5 7/8 ft from 19/2 ft:
19/2 - 5 7/8 = 19/2 - (5 * 8 + 7)/8
= 19/2 - (40 + 7)/8
= 19/2 - 47/8
To subtract fractions, we need a common denominator, which in this case is 8.
19/2 = (19 * 4)/8 = 76/8
Now we have:
76/8 - 47/8 = (76 - 47)/8
= 29/8
Therefore, 29/8 ft of the original board remained.