A rope of length 9 3/4 is cut into 6 pieces of equal length. Find the length of each piece.
9 3/4 = 9 + 3/4 = 36/4 + 3/4 = 39/4
( 39 / 4 ) / 6 =
39 / 4 * 6 =
39 / 24 =
3 * 13 / 3 * 8 =
13 / 8 =
( 8 + 5 ) / 8 =
8 / 8 + 5 / 8 =
1 + 5 / 8 =
1 5/8
9 3/4 / 6 = 13 / 8 = 1 5/8
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To find the length of each piece, we need to divide the total length of the rope by the number of pieces.
Step 1: Convert the mixed number to an improper fraction.
9 3/4 is equal to (4 * 9 + 3) / 4 which is 39/4.
Step 2: Divide the total length of the rope by the number of pieces.
The total length of the rope is 39/4 and it is divided into 6 equal pieces.
(39/4) / 6 = (39/4) * (1/6) which can be simplified to (39 * 1) / (4 * 6) = 39/24.
So, the length of each piece is 39/24.