if 12 ft of ribbon is cut into pieces that are 2 1/4 ft long,how much ribbon is left over?
not quite. There is 1/3 of a piece left over, which is 3/4 of a foot, or 9 inches.
12/2.25 = 5 pieces and 1/3 foot (4 inches) left over
To find out how much ribbon is left over, we can divide the total length of the ribbon by the length of each piece and subtract the result from the total length.
First, let's convert the mixed fraction 2 1/4 to an improper fraction. To do this, multiply the whole number (2) by the denominator (4) and add the numerator (1). Then, write the result over the denominator:
2 * 4 + 1 = 8 + 1 = 9
So, 2 1/4 is equal to 9/4.
Now, we can find the number of 2 1/4 ft pieces in 12 ft by dividing:
12 ÷ (9/4) = 12 * (4/9) = 48/9 = 5 3/9
Since we can't have a fraction of a piece, we need to round down the number of pieces to the nearest whole number. Therefore, there are a total of 5 pieces.
To find the total length of the pieces, we can multiply the length of a single piece by the number of pieces. Using the improper fraction, it would be:
(9/4) * 5 = 45/4 = 11 1/4 ft
Finally, to calculate the amount of ribbon left over, we subtract the total length of the pieces from the initial length of the ribbon:
12 ft - 11 1/4 ft = 12 ft - (9/4) ft = 12 ft - 2 1/4 ft = 9 3/4 ft
Therefore, there is 9 3/4 ft of ribbon left over.