I need help with the following question. I tried it, but I don't think I am right. I got 11 1/15 for an answer. I am really confused. Please show me how you did it.
Evette has 41 1/2ft of string. She wants to cut it into pieces 3 3/4ft long. How
many pieces of string will she have? How much string remains, if any?
you need to divide,, but first convert both given fractions to improper fraction:
41 1/2 = 83/2
3 3/4 = 15/4
thus,
(83/2)/(15/4) = (83/2)*(4/15)
166/15 = 11 1/15
therefore, 11 pieces and there is 1/15 ft of string left
so there,, :)
Thanks so much! I wasn't sure if I was right.
Sure, I'd be happy to help you with this problem!
To find the number of pieces of string Evette will have, we need to divide the total length of the string by the length of each piece.
First, let's convert Evette's total string length of 41 1/2ft to improper fraction form. To do this, we multiply the whole number (41) by the denominator of the fraction (2) and add the numerator (1). Then we put the result over the denominator (2), like this:
41 * 2 + 1 = 82 + 1 = 83
So, 41 1/2ft is equivalent to 83/2ft.
Now, let's convert the length of each piece, 3 3/4ft, to an improper fraction as well.
3 * 4 + 3 = 12 + 3 = 15
So, 3 3/4ft is equivalent to 15/4ft.
To find the number of pieces, we divide the total length of the string (83/2ft) by the length of each piece (15/4ft). Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction. So, we have:
(83/2ft) ÷ (15/4ft) = (83/2ft) * (4/15ft)
Now, let's simplify this expression by canceling out any common factors in the numerator and the denominator:
(83/2ft) * (4/15ft) = (83 * 4) / (2 * 15) ft
= 332 / 30 ft
To simplify further, we can reduce this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
332 ÷ 2 / 30 ÷ 2 = 166/15 ft
So, Evette will have a total of 166/15ft of string, or 11 1/15ft of string.
Based on your answer of 11 1/15ft, it seems like you made an error in your calculations. I hope this explanation helps you understand the correct way to solve this problem.