10) I am making scarves. I have 28 1/2 yards of yarn. Each scarf uses 7 1/8 yards of yarn. How many scarves can I make?
*
1 point
3 7/8
4
4 1/8
203 1/16
To find out how many scarves you can make, divide the total amount of yarn available by the amount of yarn used per scarf.
28 1/2 yards ÷ 7 1/8 yards = ?
To simplify this division problem, convert the mixed numbers to improper fractions:
28 1/2 = (2 * 28) + 1/2 = 56/2 + 1/2 = 57/2
7 1/8 = (8 * 7) + 1/8 = 56/8 + 1/8 = 57/8
Divide 57/2 by 57/8:
57/2 ÷ 57/8
To divide by a fraction, you can multiply by its reciprocal:
57/2 * 8/57
The numerators of both fractions cancel each other, leaving:
1*8/2 = 8/2 = 4
You can make 4 scarves with the given amount of yarn. Therefore, the answer is 4.