reiner reads ⅓ parts of the book in 2 ⅕ of an hour.how many hours he need to read the whole book
Answer (2)
Answer:Reiner reads 1/3 of the book in 2 1/5 hours. To determine the total time needed for the entire book, we first convert the mixed number 2 1/5 hours into an improper fraction. Two times five is ten, plus one is eleven, so that's 11/5 hours.Since 1/3 of the book takes 11/5 hours, and the whole book is 3/3 (or 1 whole), we need to multiply the time taken by 3.So, we calculate (11/5) hours * 3, which equals (11 * 3) / 5. This results in 33/5 hours.Converting 33/5 hours back to a mixed number, 33 divided by 5 is 6 with a remainder of 3. So, it's 6 and 3/5 hours.Therefore, Reiner needs 6 3/5 hours to read the whole book.Step-by-step explanation:
Answer:6 ¾Step-by-step explanation:Reiner needs 6 ¾ hours to read the whole book. First, convert the mixed numbers to improper fractions: ⅓ and 2 ⅕ become ⅓ and 11/5 respectively. To find the time needed to read the entire book, set up a proportion: (⅓ book) / (11/5 hours) = (1 book) / (x hours). Solving for x, we get x = (11/5) / (⅓) = (11/5) * (3/1) = 33/5 hours. Converting this improper fraction to a mixed number gives 6 ¾ hours.
