Hi, um, I have two questions.
1. How many pieces, each of length 1/3 foot, can I make with 7 feet of string?
2. How many pieces, each of length 3/7 foot, can I make with 7/2 feet of string?
Thanks!
7 / 1/3 = 7 * 3/1 = 21
7/2 / 3/7 = 7/2 * 7/3 = 49/6 = 8 1/6
Sure! I can help you step-by-step with both questions.
Question 1: How many pieces, each of length 1/3 foot, can I make with 7 feet of string?
Step 1: To find the number of pieces, we can divide the total length of the string (7 feet) by the length of each piece (1/3 foot).
7 feet ÷ 1/3 foot = ?
Step 2: To divide by a fraction, we can multiply by its reciprocal. Therefore, we can rewrite the division as a multiplication:
7 feet × 3/1 foot = ?
Step 3: Now, we multiply the numerator and denominator:
7 × 3 = 21 (numerator)
1 × 1 = 1 (denominator)
Step 4: Simplifying the fraction, we find:
21/1 = 21
Answer: You can make 21 pieces, each of length 1/3 foot, with 7 feet of string.
Now let's move on to the second question.
Question 2: How many pieces, each of length 3/7 foot, can I make with 7/2 feet of string?
Step 1: Similar to the first question, divide the total length of the string (7/2 feet) by the length of each piece (3/7 foot).
7/2 feet ÷ 3/7 foot = ?
Step 2: Again, convert the division to multiplication by multiplying by the reciprocal:
7/2 feet × 7/3 foot = ?
Step 3: Multiply the numerator and denominator:
7 × 7 = 49 (numerator)
2 × 3 = 6 (denominator)
Step 4: Simplify the fraction:
49/6
Answer: You can make 49/6 pieces, each of length 3/7 foot, with 7/2 feet of string.
Note: To simplify the fraction 49/6, you can divide the numerator (49) by the denominator (6) to get the mixed number 8 1/6. So, you can make 8 1/6 pieces.
I hope this helps! Let me know if you have any further questions.
Hi there! I'd be happy to help you with your questions. Let's tackle them one at a time.
1. To find out how many 1/3 foot pieces you can make with 7 feet of string, you can divide the total length of the string by the length of each piece. In this case, you can divide 7 by 1/3.
To divide by a fraction, you can flip the fraction and multiply. So, 7 divided by 1/3 is the same as 7 multiplied by 3/1 (or simply 7 multiplied by 3). This gives us:
7 * (3/1) = 21
Therefore, you can make 21 pieces, each of length 1/3 foot, with 7 feet of string.
2. Similarly, to determine the number of pieces you can make with lengths of 3/7 foot using 7/2 feet of string, you'll divide the total length by the length of each piece. In this case, you'll divide 7/2 by 3/7.
When dividing by a fraction, you can multiply by its reciprocal. So, 7/2 divided by 3/7 is the same as 7/2 multiplied by 7/3. This gives us:
(7/2) * (7/3) = 49/6
Therefore, you can make 49/6 (or 8 and 1/6) pieces, each of length 3/7 foot, with 7/2 feet of string.
I hope that helps! Let me know if there's anything else I can assist you with.