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Alexis has two ribbons. One of the ribbons is 40 cm long, and the other is 70 m long. She wants to cut the ribbons into equal pieces of the same length with no ribbon left over. What is the longest length she can cut the ribbons in centimeters?

Answer :

Answer: 17.5cm

Steps: 70m = 700cm

40cm = 40cm

700cm/40cm

=17.5cm

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Rewritten by : Barada

Answer:

40 cm

Step-by-step explanation:

She has one ribbon of 40 cm and another ribbon of 70 m

First, we have to change 70 m to cm, to do this we know that 1m = 100 cm

so we multiply 70*100 = 7,000 cm.

Now we have to find the longest length she can cut the ribbons in centimeters.

To do this we have to find the Greatest Common Factor of 40 and 7000 to know what is the longest length she can cut the ribbons.

To find the Greatest Common Factor we have to find the factors for each number:

Factors of 40:

1, 2, 4, 8, 10, 20, 40

Factors of 7000

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40

The Greatest Common Factor is 40, so she can have pieces of 40 cm long.