Question

Out of the total number of books in Paul's bookshelf, 2/7 of the books are magazines and 1/8 of the remaining books are autobiographies. What fraction of the books in the bookshelf are autobiographies. A: 2/56 B: 5/56 C: 9/56 D: 33/56 ​

Answer 1

B

Explanation:

first, we find the fraction of books which are not magazines. this is the difference between 1 and 2/7.

since 1 = 7/7, we have 7/7-2/7=5/7 as the remaining.

next, we have 1/8 of 5/7 of the books as autobiographies, so we need to multiply the two fractions. use the property a/b × c/d = ac/bd.

1/8 × 5/7 = 5/56 which is already in simplest form.

thus, our answer is B.

Answer 2

Answer: B: 5/56

Explanation:

1. You have to find the common denominator. Since we are finding 1/8 of 5/7, you would multiply 7*8 to get 56 (as seen in all of the answer choices).

2. Now, you would multiply the fractions by each other's numerator. This would be multiplying 1 by 5.

3. Now, we just put the numerator on top of the denominator to get the right answer.

4. Since the answer cannot be simplified, 5/56 is the correct answer.