maddy wrote 2/3 of her 300 word essay on Monday and 1/4 on Tuesday. What fraction of her essay has she completed?
2/3 + 1/4 = 8/12 + 3/12 = 11/12
a park has 4 hiking trails. Trails A and B go from the lodge to the dock. Trail A is 1/2 mile long, and Trail B is 2/3 mile long. Trails C and D go from the dock to the park entrance. Trail C is 1/4 mile long and trail D is 1/3 mile long. Draw a picture of the possible trails. How long is each possible hike from the lodge to the dock and to the park entrance.
To find the fraction of her essay that Maddy has completed, we need to calculate the sum of the fractions of her essay written on Monday and Tuesday.
On Monday, Maddy wrote 2/3 of her 300-word essay. To find out how many words she wrote on Monday, we can multiply 2/3 by 300:
(2/3) * 300 = 200.
Therefore, Maddy wrote 200 words on Monday.
On Tuesday, Maddy wrote 1/4 of her 300-word essay. To find out how many words she wrote on Tuesday, we can multiply 1/4 by 300:
(1/4) * 300 = 75.
Therefore, Maddy wrote 75 words on Tuesday.
To find the total number of words Maddy has written, we add the number of words written on Monday and Tuesday:
200 + 75 = 275.
So, Maddy has completed 275 words of her 300-word essay.
To find the fraction of her essay that she has completed, we divide the number of words she has completed (275) by the total number of words in her essay (300):
275 / 300.
This can be simplified to its lowest terms by dividing both the numerator and denominator by their greatest common divisor, which is 25:
275 ÷ 25 / 300 ÷ 25 = 11/12.
Therefore, Maddy has completed 11/12 of her essay.