Add the mixed numbers 4 2/5 and 1 3/4

To add the mixed numbers 4 2/5 and 1 3/4, first convert the mixed numbers to improper fractions:

4 2/5 = 22/5
1 3/4 = 7/4

Now, add the fractions:

22/5 + 7/4 = (22*4)/(5*4) + (7*5)/(4*5) = 88/20 + 35/20 = 123/20

Finally, convert the improper fraction back to a mixed number:

123 ÷ 20 = 6 with a remainder of 3
So, the sum of 4 2/5 and 1 3/4 is 6 3/20.