Add the mixed numbers 4 2/5 and 1 3/4.
4 2/5 + 1 3/4
To add mixed numbers, first convert them to improper fractions:
4 2/5 = (5*4 + 2)/5 = 22/5
1 3/4 = (4*1 + 3)/4 = 7/4
Now add the improper fractions:
22/5 + 7/4
To add fractions with different denominators, find a common denominator:
The least common multiple of 5 and 4 is 20.
So, rewrite the fractions with a denominator of 20:
22/5 * 4/4 = 88/20
7/4 * 5/5 = 35/20
Now add the fractions:
88/20 + 35/20 = 123/20
Now convert the improper fraction back to a mixed number:
123 ÷ 20 = Quotient 6, Remainder 3
So, 123/20 = 6 3/20
Therefore, 4 2/5 + 1 3/4 = 6 3/20.