Final answer:
You sold 1/3 of your coupon books, or 4 books. Your friend sold 3 times that amount, which is 12 books. Therefore, your friend has sold all their coupon books, or (12/12) which is 1.
Step-by-step explanation:
The question asks to determine what fraction of the coupon books your friend has sold. If we assume you started with 12 coupon books and sold (2/6), which simplifies to (1/3) of your coupon books, that means you sold 4 books (because 12 multiplied by 1/3 equals
4). Since your friend sold 3 times as many books, your friend must have sold 3 times 4, which equals 12 books. Since both you and your friend started with 12 books and your friend has sold all 12 books, your friend has sold (12/12), which simplifies to 1 or all of their coupon books.
To find the fraction of your friend's coupon books, we need to determine how many books your friend has sold. Since you have sold (2)/(6) of your books, which simplifies to (1)/(3) of your books, and your friend has sold 3 times as many as you, your friend has sold (3/(3))*(1/(3)) = (1)/(3) of their books. Therefore, the fraction of your friend's coupon books that have been sold is (1)/(3).