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

Answer 1

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.