An arts and craft project requires 42 pieces of wire, each of length 1 4/7 feet. Assuming there is no waste in cutting, calculated the minimum length of wire that should be purchased
impatient much?
Once is enough, thank you.
Repeated postings will not get faster or better responses.
To calculate the minimum length of wire that should be purchased, we need to multiply the number of wire pieces by the length of each piece.
In this case, we need 42 pieces of wire and each piece has a length of 1 4/7 feet.
To make the calculation easier, we can convert the mixed fraction 1 4/7 to an improper fraction.
1 * 7 = 7
7 + 4 = 11
So, 1 4/7 can be written as 11/7.
Now, we can find the total length of wire required:
Total length = Number of pieces × Length of each piece
Total length = 42 × (11/7)
To simplify the calculation, we can first divide 42 by 7:
42 ÷ 7 = 6
Now, we multiply 6 by 11:
6 × 11 = 66
Therefore, the minimum length of wire that should be purchased is 66 feet.
To calculate the minimum length of wire that should be purchased, we can multiply the number of pieces required by the length of each piece. However, we need to convert the mixed number 1 4/7 into an improper fraction first.
To convert 1 4/7 to an improper fraction:
1. Multiply the whole number (1) by the denominator of the fraction (7): 1 * 7 = 7.
2. Add the result from step 1 (7) to the numerator of the fraction (4): 7 + 4 = 11.
3. Place the resulting sum (11) over the original denominator (7): 11/7.
Now that we have the improper fraction, we can calculate the minimum length of wire required:
Length of each piece = 11/7 feet
Number of pieces required = 42
Minimum length of wire needed = (11/7) * 42
To multiply fractions, multiply the numerators (11 * 42) and multiply the denominators (7 * 1):
Minimum length of wire needed = (11/7) * 42 = (11 * 42) / (7 * 1) = 462/7
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 7:
Minimum length of wire needed = (462/7) / (7/7) = 66
Therefore, the minimum length of wire that should be purchased is 66 feet.