3 1/5 + 1 3/7
To add these two fractions, we need to find a common denominator. The least common multiple of 5 and 7 is 35.
3 1/5 = 16/5
1 3/7 = 10/7
16/5 + 10/7 = (16/5) * (7/7) + (10/7) * (5/5) = 112/35 + 50/35 = 162/35
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 1.
162/35 = 4 22/35
This expression does not equal 4 4/12.
1 11/12 + 2 1/4
Again, we need to find a common denominator to add these two fractions. The least common multiple of 4 and 12 is 12.
1 11/12 = 23/12
2 1/4 = 9/4
23/12 + 9/4 = (23/12) * (1/1) + (9/4) * (3/3) = 23/12 + 27/12 = 50/12
We can simplify this fraction by dividing both the numerator and denominator by their GCF, which is 2.
50/12 = 4 2/12
This expression does equal 4 4/12.