if a woman has a 50 ft. piece of wire & cuts it into strips 1 2/3 feet long, how many pieces will she have
50 / (5/3)
50 * (3/5) = 150/5 = 30
To find out how many pieces the woman will have, you need to divide the total length of the wire by the length of each strip.
Given:
Length of wire = 50 ft.
Length of each strip = 1 2/3 feet
First, we need to convert the length of each strip to the same unit as the length of the wire, which is feet.
To convert 2/3 feet to a decimal, divide the numerator (2) by the denominator (3): 2 รท 3 = 0.6667 feet.
Now, let's convert the length of each strip to a mixed fraction to simplify calculations. Since 0.6667 feet is very close to 2/3 feet, we can round it to 2/3 feet.
Length of each strip = 1 2/3 feet = 1 + 2/3 = 3/3 + 2/3 = 5/3 feet.
Now, divide the length of the wire by the length of each strip:
Number of pieces = Length of wire / Length of each strip
= 50 ft / (5/3) ft.
To divide by a fraction, you can multiply by the reciprocal (or flip) of the fraction:
Number of pieces = 50 ft * (3/5 ft)
= (50 * 3) / 5
= 150 / 5
= 30 pieces.
Therefore, the woman will have 30 pieces of wire.