Add the mixed numbers 4 2/5 and 1 3/4
4 2/5 + 1 3/4
First, convert both mixed numbers to improper fractions:
4 2/5 = (5*4 + 2) / 5 = 22/5
1 3/4 = (4*1 + 3) / 4 = 7/4
Now, add the fractions:
22/5 + 7/4
To add these fractions, we need to find a common denominator, which in this case is 20:
22/5 = 88/20
7/4 = 35/20
Now add the fractions:
88/20 + 35/20 = 123/20
Convert the improper fraction back to a mixed number:
123/20 = 6 3/20
Therefore, 4 2/5 + 1 3/4 = 6 3/20.