J.K. Rowling’s first book, Harry Potter and the Philosopher’sStone, is 225 pages long. Sam plans to read the book in three days,reading the same number of pages each day.a How many pages should Sam read each day?b The fraction 75225 of the book is equivalent to what fraction insimplest form?c By the end of the second day, Sam is on track and has read 23 ofthe book. How many pages of the book does 23 represent?
Question
J.K. Rowling’s first book, Harry Potter and the Philosopher’sStone, is 225 pages long. Sam plans to read the book in three days,reading the same number of pages each day.a How many pages should Sam read each day?b The fraction 75225 of the book is equivalent to what fraction insimplest form?c By the end of the second day, Sam is on track and has read 23 ofthe book. How many pages of the book does 23 represent?
Solution
a) To find out how many pages Sam should read each day, we need to divide the total number of pages by the number of days. So, 225 pages ÷ 3 days = 75 pages per day.
b) The fraction 75/225 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 75. So, 75 ÷ 75 / 225 ÷ 75 = 1/3.
c) To find out how many pages represent 2/3 of the book, we need to multiply the total number of pages by 2/3. So, 225 pages * 2/3 = 150 pages.
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