High School

Karen has a red ribbon that is 18 feet long and a blue ribbon that is Sophie long. She wants to cut both ribbons into pieces that are all the same length and have no ribbon left over when she's done. What is the greatest length in feet of a piece of ribbon that she can cut?

(Note: The length of the blue ribbon should be specified for the question to make complete sense. For the purpose of the question, assume the length of the blue ribbon is given or known.)

Answer :

Answer:

6feet

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW:

Karen has a red ribbon that is 18 feet long and a blue ribbon that is 12 feet long. She wants to cut both ribbons into pieces that are all the same length and she wants no ribbon leftover when she is done. What is the greatest length in feet, of each piece of ribbon that she can cut?​

Here the question is only talking about the GREATEST COMMON FACTOR that exist between 12 and 18. Since we are told that She wants to cut both ribbons into pieces that are all the "THE SAME LENGHTH"

For the ribbon that of 18 feet long, it can only be cut into 3pieces of equal Lenght i.e(18/6)= 3 pieces

For the ribbon that of 12 feet long, it can only be cut into 2pieces of equal Lenght i.e(12/6)= 3 pieces

Therefore the greatest common factor which divide both 12 and 8 is 6. which means 6 is the greatest length in feet, of each piece of ribbon that she can cut

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