how many 4 1/2-feet pieces of rope can be cut from a 48-foot piece of rope?
47 / 4.5 = ?
10 2/3
To find out how many 4 1/2-feet pieces of rope can be cut from a 48-foot piece of rope, follow these steps:
Step 1: Convert 4 1/2 feet to a decimal.
To convert 4 1/2 feet to a decimal, we need to add the whole number part (4) to the fraction part (1/2).
4 + 1/2 = 4 is the whole number part, and we can convert 1/2 to a decimal by dividing the numerator (1) by the denominator (2): 1 ÷ 2 = 0.5.
So, 4 1/2 feet is equal to 4.5 feet.
Step 2: Divide the length of the rope by the length of each piece.
To find out how many 4 1/2-feet pieces can be cut from a 48-foot piece of rope, we divide the length of the rope (48 feet) by the length of each piece (4.5 feet).
48 ÷ 4.5 = 10.6667
Step 3: Round the result to the nearest whole number.
Since we cannot have a fraction of a piece of rope, we need to round the result to the nearest whole number.
Rounding 10.6667 to the nearest whole number gives us:
10 4 1/2-feet pieces.
So, you can cut 10 4 1/2-feet pieces of rope from a 48-foot piece of rope.
To determine how many 4 1/2-feet pieces of rope can be cut from a 48-foot piece of rope, we need to divide the total length of the rope by the length of each individual piece. Here's how you can calculate it step by step:
1. Convert the mixed number 4 1/2 to an improper fraction:
4 1/2 = (4 * 2 + 1) / 2 = 9/2
2. Divide the length of the entire rope by the length of each piece:
48 / (9/2)
To divide by a fraction, we need to multiply by its reciprocal. The reciprocal of 9/2 is 2/9. So, we can rewrite the division as multiplication:
48 * (2/9)
3. Multiply the numerators (top numbers) to find the numerator of the final answer:
48 * 2 = 96
4. Multiply the denominators (bottom numbers) to find the denominator of the final answer:
9 * 1 = 9
Therefore, there can be 96/9 = 10 and 6/9 (or simplified as 10 and 2/3) pieces of 4 1/2-feet rope cut from a 48-foot piece of rope.