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Arnold had three pieces of different colored strings that are all the same length. Arnold cut the blue string into 2 equal size lengths. he cut the red string into 3 equal-size length, and the green string into 6 equal-size. He needs to cut the strings so each color has the same number of equal-size lengths. What is the least number of equal size lengths each color string could have?

Respuesta :

6
he cut the blue string in half.
he cut the red string in thirds
he cut the green string in sixths.

2(half) goes into 6
3(thirds) go into 6
the sixths stay the same

Answer:

Least number of equal length = 6

Step-by-step explanation:

Given : Arnold had three pieces of different colored strings that are all the same length. Arnold cut the string

Blue- 2 equal size length

Red- 3 equal size length

Green- 6 equal size length

To find : The least number of equal size lengths each color string could have

Solution :  To find the least number we find the least common multiples of 2,3,6 or L.C.M of 2,3,6

Multiple of 2 = 2,4,6,8....

Multiple of 3 = 3,6,9....

Multiple of 6 = 6,12,18....

So the least number of equal length is 6.

or   L.C.M of 2,3,6 = 6      

Therefore, 6 is the least number of equal size lengths each color string could have.

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