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Cara has two pieces of ribbon, one 15 inches long and the other 20 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?

Respuesta :

fichoh

Answer:

5 inches

Step-by-step explanation:

Given that :

There are two pieces of ribbon with length:

15 inches and 20 inches

To cut ribbon into equal sizes with no ribbons left ; the greatest length in inches of the ribbon would be :

Calculate the greatest common factor of both lengths : 15 inches and 20 inches

____15___20

_5__ 3___4

OR

Find the factors of 15 and 20 and pick the greatest common to both

15 : 1, 3, 5, 15

20 : 1, 2, 4, 5, 10, 20

Greatest factor common to both = 5

Hence the greatest length she can cut the ribbons into without any leftover is 5 inches

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