The length of a ribbon is 3/4 meter. Tina needs pieces measuring 1/3 meter for an art project.
A)What is the greatest number of pieces measuring 1/3 meter that can be cut from the ribbon?
B)How much ribbon will be left after Tina cuts the ribbon? Explain your reasoning.
THANK YOU!
A) To find the greatest number of pieces measuring 1/3 meter that can be cut from the ribbon, we need to divide the length of the ribbon by the length of each piece.
Length of ribbon = 3/4 meter
Length of each piece = 1/3 meter
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(3/4 meter) ÷ (1/3 meter)
= (3/4 meter) x (3/1 meter)
= 9/4 meter
= 2 1/4 meter
Therefore, the greatest number of pieces measuring 1/3 meter that can be cut from the ribbon is 2 pieces.
B) To find out how much ribbon will be left after Tina cuts the ribbon, we subtract the sum of the lengths of the pieces from the length of the ribbon.
Length of ribbon = 3/4 meter
Length of each piece = 1/3 meter
Number of pieces = 2
Total length of pieces = Length of each piece x Number of pieces
= (1/3 meter) x (2 pieces)
= 2/3 meter
Ribbon left after cutting = Length of ribbon - Total length of pieces
= (3/4 meter) - (2/3 meter)
= (9/12 meter) - (8/12 meter)
= 1/12 meter
Therefore, after Tina cuts the ribbon into 2 pieces measuring 1/3 meter each, there will be 1/12 meter of ribbon left.
A) To find out the greatest number of pieces that can be cut from the ribbon measuring 1/3 meter each, we need to divide the length of the ribbon by the length of each piece.
The length of the ribbon is 3/4 meter, and the length of each piece is 1/3 meter.
To divide these two fractions, we can multiply the first fraction (3/4) by the reciprocal (or multiplicative inverse) of the second fraction (1/3).
So, (3/4) * (3/1) = 9/4.
Therefore, the greatest number of pieces measuring 1/3 meter that can be cut from the ribbon is 9.
B) To find out how much ribbon will be left after Tina cuts the 9 pieces measuring 1/3 meter, we need to subtract the total length of the pieces from the original length of the ribbon.
The total length of the 9 pieces is (9 * 1/3) = 9/3 = 3 meters.
To find out how much ribbon is left, we need to subtract 3 meters from the original length of 3/4 meter.
To do this, we need to convert the original length to a common denominator of 12/12.
So, 3/4 meter is equivalent to (9/12) meter (multiply numerator and denominator by 3).
Now, we can subtract: (9/12) - (3/12) = 6/12 = 1/2 meter.
Therefore, there will be 1/2 meter of ribbon left after Tina cuts the ribbon.
Thank y’all so much
A) 1/3 + 1/3 = 2/3 + another 1/3 = 1
B) 3/4 - 2/3 = 9/12 - 8/12 = ?