Paul needs 3 1/4 yards of fabric to make one tablecloth. How many tablecloths can he make from 20 1/2 yards of fabric.
67
7 My answer
6
66
well, 7*3 = 21, so think again
20.5/3.25 = 6.3
so only six with a little cloth left over
Ohhh I was close. 6 was my first answer. Thanks for the help!
To find out how many tablecloths Paul can make from 20 1/2 yards of fabric, we need to divide the total length of fabric by the length required for each tablecloth.
First, let's convert the mixed number 20 1/2 to an improper fraction. To do this, we multiply the whole number (20) by the denominator (2) and then add the numerator (1). So, 20 1/2 becomes (20 * 2) + 1 = 41/2 yards of fabric.
Now, we can divide the total length (41/2) by the length required for each tablecloth (3 1/4). To divide a fraction by a fraction, we multiply the first fraction by the reciprocal of the second fraction.
41/2 ÷ 3 1/4 = 41/2 * 4/13
To multiply fractions, we simply multiply the numerators together (41 * 4) and the denominators together (2 * 13).
= (41 * 4) / (2 * 13)
= 164 / 26
Now, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which in this case is 2.
= (164 ÷ 2) / (26 ÷ 2)
= 82 / 13
Therefore, Paul can make 82/13 tablecloths from 20 1/2 yards of fabric. This is an improper fraction, so let's convert it back to a mixed number.
82 ÷ 13 = 6 with a remainder of 4.
So, Paul can make 6 whole tablecloths, and he will have 4/13 of the fabric left over.
Hence, the correct answer is 6 tablecloths.