Question

How do you add `1 2/5 + 4 4/10`?

Answer 1

See a solution process below:

Explanation:

First, convert each mixed number to an improper fraction:

`1 2/5 = 1 + 2/5 = (5/5 xx 1) + 2/5 = 5/5 + 2/5 = (5 + 2)/5 = 7/5`

`4 4/10 = 4 2/5 = 4 + 2/5 = (5/5 xx 4) + 2/5 = 20/5 + 2/5 = (20 + 2)/5 =`

`22/5`

We can now add the two improper fractions:

`7/5 + 22/5 = (7 + 22)/5 = 29/5`

We can convert this back to a mixed number as:

`29/5 = (25 + 4)/5 = 25/5 + 4/5 = 5 + 4/5 = 5 4/5`

Another process is to rewrite the expression as:

`1 2/5 + 4 4/10 = 1 2/5 + 4 2/5 = 1 + 2/5 + 4 + 2/5 =`

`1 + 4 + 2/5 + 2/5 = 5 + (2 + 2)/5 = 5 + 4/5 = 5 4/5`