a piece of wire is of length of 8 1/4 m,It is cut into two pieces.The length of one piece is 4 3/4 m.what is the length of the other piece?
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a piece of wire is of length of 8 1/4 m,It is cut into two pieces.The length of one piece is 4 3/4 m.what is the length of the other piece?
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Answer: To find the length of the other piece of wire, we need to subtract the length of one piece from the total length. We can do this by converting the mixed fractions into improper fractions, finding a common denominator, and then subtracting the numerators. The steps are as follows:
Convert 8 1/4 into an improper fraction by multiplying the whole number by the denominator and adding the numerator: 8 1/4 = (8 x 4) + 1 / 4 = 33/4
Convert 4 3/4 into an improper fraction by multiplying the whole number by the denominator and adding the numerator: 4 3/4 = (4 x 4) + 3 / 4 = 19/4
Find a common denominator for both fractions. Since they have the same denominator of 4, we can use that as the common denominator.
Subtract the numerators of both fractions and keep the common denominator: 33/4 - 19/4 = (33 - 19) / 4 = 14/4
Simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 2: 14/4 = (14 / 2) / (4 / 2) = 7/2
Convert the improper fraction into a mixed fraction by dividing the numerator by the denominator and writing the remainder as a fraction: 7/2 = (7 / 2) + (0 / 2) = 3 + (1 / 2) = 3 1/2
Therefore, the length of the other piece of wire is 3 1/2 m.
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