The total weight of 5 science textbooks is 6 2/3 pounds. How much does each book weigh?
To find the weight of each book, divide the total weight by the number of books: 6 2/3 pounds / 5 books = <<6+2/3/5=1 1/3>>1 1/3 pounds/book. Answer: \boxed{1\frac13}.
To find out how much each book weighs, we need to divide the total weight of the textbooks by the number of textbooks.
Total weight of the 5 science textbooks = 6 2/3 pounds
To convert this mixed number into an improper fraction, we multiply the whole number (6) by the denominator (3) and add the numerator (2) to get the new numerator:
6 x 3 + 2 = 20
So, the total weight in improper fraction format is 20/3 pounds.
Now, we need to divide the total weight by the number of textbooks (5):
(20/3) ÷ 5
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(20/3) ÷ 5 = (20/3) x (1/5)
Multiply the numerators to get the new numerator and multiply the denominators to get the new denominator:
(20 x 1) / (3 x 5) = 20/15
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5:
20 ÷ 5 / 15 ÷ 5 = 4/3
Therefore, each science textbook weighs 4/3 pounds.
To find out how much each book weighs, we need to divide the total weight of the 5 science textbooks by the number of books.
Given that the total weight of the 5 science textbooks is 6 2/3 pounds, we can convert this mixed fraction into an improper fraction to make calculations easier.
6 2/3 pounds can be represented as 20/3 pounds because 6 times 3 is 18, plus 2 is 20. So, we have 20/3 pounds as the total weight of the 5 science textbooks.
To find the weight of each book, we need to divide this total weight by the number of books, which is 5.
So, 20/3 pounds divided by 5 books is equal to (20/3) ÷ 5 = (20/3) × (1/5).
To multiply fractions, multiply the numerators (top numbers) together and multiply the denominators (bottom numbers) together.
(20/3) × (1/5) = (20 × 1) ÷ (3 × 5) = 20/15.
Now, the fraction 20/15 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5.
Dividing 20 by 5 we get 4, and dividing 15 by 5 we get 3. So, 20/15 simplifies to 4/3.
Therefore, each science textbook weighs 4/3 pounds.