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Lacey has two pieces of ribbon, one 30 inches long and the other 48 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them?



Answer :

adioabiola

The greatest length, in inches, that she can make from the two pieces of ribbon is 6 inches

Greatest common factor

  • Ribbon A = 30 inches long
  • Ribbon B = 48 inches long

Find the factors of 30 and 48

  • 30 = 1, 2, 3, 5, 6, 10, 15 and 30.
  • 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

The greatest common factor of 30 and 48 is 6

Therefore,

Ribbon A can be cut into = 30 / 6

= 5 pieces

Ribbon B = 48/6

= 8 pieces

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