Question

Rahul has 40 cm long red and 84 cm long blue ribbon. He cuts each ribbon into pieces such that all pieces are of equal length. What is the length of each piece​

Answer 1

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Answer 2

Given:

Rahul has 40 cm long red ribbon and

84 cm long blue ribbon.

To find:

The length of each piece​ of the ribbon.

Solution:

Rahul has 40 cm long red and 84 cm long blue ribbon.

He cuts each ribbon into pieces such that all pieces are of equal length.

We can find the length of each piece of the ribbon by finding the GCF of 40 and 84.

The GCF can be find by multiplying all the prime factors common to both the numbers.

Prime factorization of 40 = 2 × 2 × 2 × 5

Prime factorization of 84 = 2 × 2 × 3 × 7

Therefore, GCF  = 2 × 2

GCF = 4

The length of each piece is 4 cm

Final answer:

The equal length of each piece​ of the ribbon is 4 cm