Question

Add the following fractions:
10
20
11
13
20
5
3
20
+ -1/201 (55 point)

Answer 1

To add these fractions, we need to find their least common denominator (LCD). The LCD of the fractions 10, 20, 11, 13, 20, 5, 3, and 20 is 60.

We then convert each fraction to have a denominator of 60:

10/1 = 600/60
20/1 = 1200/60
11/1 = 660/60
13/1 = 780/60
20/1 = 1200/60
5/1 = 300/60
3/1 = 180/60
20/1 = 1200/60

Now we can add the fractions:

(600 + 1200 + 660 + 780 + 1200 + 300 + 180 + 1200 - 1/201)/60
= (6120 - 1/201)/60

To simplify the fraction, we need to find a common denominator for both the numerator and the denominator:

The common denominator would be 60*201 = 12060

Therefore,
(6120 - 1/201)/60 = (6120*201 - 1)/12060 = (1232520-1)/12060 = 1232519/12060

So, the sum of the given fractions is 1232519/12060.