A cord of length 143/2 has been cut into 26 pieces of equal length. What is the length of each piece?
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Answer:
2.75 (m/cm as per the question)
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Step-by-step explanation:
Length of original cord is (143/2)m. When cut into 26 equal length pieces, the length of each piece is 143/(2x26) m
Finding the prime factors of the numerator (the top number) and of the denominator (the bottom number) of this fraction results in the length of each piece of cord being expressed as: (11 x 13)/(2 x 2 x 13) m.
With the numerator and denominator both having 13 as a factor means that, as 13/13 = 1, the 13s ‘cancel’ or disappear with the result that the length of each piece of cord may be expressed as: 11/(2 x 2) m, 2 x 2 = 4, so the length of each piece of chord is 11/4 m.
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