A piece of wood is 7 one-fourth feet long. How many 2-foot-long pieces can Sue cut from the wood?
To find out how many 2-foot-long pieces Sue can cut from a 7 one-fourth feet long piece of wood, we need to divide the length of the wood by the length of each piece.
First, we need to convert 7 one-fourth feet into a mixed number or a fraction.
Since one-fourth is equal to 1/4, we can write 7 one-fourth as 7 1/4.
Next, we can convert 7 1/4 into an improper fraction.
To do this, we multiply the whole number, 7, by the denominator of the fraction, which is 4, and add the numerator, which is 1. This gives us (7 * 4) + 1 = 29.
Therefore, 7 one-fourth is equal to 29/4.
Now, we can divide the length of the wood, which is 29/4, by the length of each piece, which is 2.
To do this division, we can multiply the numerator of the length of the wood, 29, by the reciprocal of the length of each piece, 1/2.
29/4 * 1/2 = (29 * 1) / (4 * 2) = 29/8.
Therefore, Sue can cut 29/8 pieces of wood, which is approximately 3.625 pieces. Since she can't have a fraction of a piece, Sue can cut 3 pieces of wood that are 2 feet long from the 7 one-fourth feet long piece of wood.
To find out how many 2-foot-long pieces Sue can cut from a piece of wood that is 7 and one-fourth feet long, we need to divide the length of the wood by the length of each piece.
First, let's convert 7 and one-fourth feet into a single fraction.
7 one-fourth can be written as 7 + 1/4 = 28/4 + 1/4 = 29/4 feet.
Now, we divide the length of the wood (29/4 feet) by the length of each piece (2 feet).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, we have:
(29/4 feet) ÷ (2 feet) = (29/4) * (1/2)
Next, we multiply the numerators and the denominators:
(29 * 1) / (4 * 2) = 29/8
Therefore, Sue can cut 29/8 pieces from the wood. However, we usually express the answer as a whole number or as a mixed number.
To convert the fraction into mixed number form, we divide the numerator (29) by the denominator (8).
29 ÷ 8 = 3 with a remainder of 5.
So, Sue can cut 3 and five-eighths (3 5/8) 2-foot-long pieces from the wood.