Evan type 72 pages of notes one day. He typed one half of the pages in the morning and one third of the pages in the afternoon. He type the rest of the pages in the evening. How many pages of notes that he typed in the morning and afternoon
60 pages
1/2 * 72 = 36
1/3 * 72 = 24
60
60
60
60
60
60
To find out how many pages Evan typed in the morning and afternoon, we need to calculate the sum of the fractions he typed in each period.
Evan typed one half (1/2) of the pages in the morning.
He typed one third (1/3) of the pages in the afternoon.
To sum these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 2 and 3 is 6.
To convert 1/2 into sixths, we multiply the numerator and denominator by 3:
(1/2) * (3/3) = 3/6
To convert 1/3 into sixths, we multiply the numerator and denominator by 2:
(1/3) * (2/2) = 2/6
Now that both fractions have the same denominator, we can add them together:
3/6 + 2/6 = 5/6
Therefore, Evan typed a total of 5/6 of the 72 pages in the morning and afternoon.
To find out how many pages this is, we multiply the fraction by the total number of pages:
(5/6) * 72 = (5 * 72) / 6 = 360/6 = 60 pages.
Thus, Evan typed 60 pages of notes in the morning and afternoon.