First, find a common denominator for all three fractions: 7, 28, and 35. Since 7, 28, and 35 are multiples of each other, their least common multiple is 140.
Now, convert each fraction to have a denominator of 140 3/7 = 60/14 1/28 = 5/14 11/35 = 44/140
Now add the fractions together 60/140 + 5/140 + 44/140 = (60 + 5 + 44)/140 = 109/140
So, 3/7 + 1/28 + 11/35 = 109/140
5) 5/8 + 1/6 + 7/12
First, find a common denominator for all three fractions: 8, 6, and 12. Since 8, 6, and 12 are multiples of each other, their least common multiple is 24.
Now, convert each fraction to have a denominator of 24 5/8 = 15/2 1/6 = 4/2 7/12 = 14/24
Now add the fractions together 15/24 + 4/24 + 14/24 = (15 + 4 + 14)/24 = 33/24
Since 33 is bigger than 24, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 3 33/24 = 11/8
4) 3/7 + 1/28 + 11/35
First, find a common denominator for all three fractions: 7, 28, and 35. Since 7, 28, and 35 are multiples of each other, their least common multiple is 140.
Now, convert each fraction to have a denominator of 140
3/7 = 60/14
1/28 = 5/14
11/35 = 44/140
Now add the fractions together
60/140 + 5/140 + 44/140 = (60 + 5 + 44)/140 = 109/140
So, 3/7 + 1/28 + 11/35 = 109/140
5) 5/8 + 1/6 + 7/12
First, find a common denominator for all three fractions: 8, 6, and 12. Since 8, 6, and 12 are multiples of each other, their least common multiple is 24.
Now, convert each fraction to have a denominator of 24
5/8 = 15/2
1/6 = 4/2
7/12 = 14/24
Now add the fractions together
15/24 + 4/24 + 14/24 = (15 + 4 + 14)/24 = 33/24
Since 33 is bigger than 24, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 3
33/24 = 11/8
So, 5/8 + 1/6 + 7/12 = 11/8