Question

How do you simplify `9 9/11 + 4 1/2`?

Answer 1

See a solution process below:

Explanation:

First, we need to convert the mixed numbers to improper fractions:

`9 9/11 + 4 1/2 => (9 + 9/11) + (4 + 1/2) =>`

`((11/11 xx 9 + 9/11) + ((2/2 xx 4) + 1/2) =>`

`(99/11 + 9/11) + (8/2+ 1/2) => 108/11 + 9/2`

Next, we need to put the fractions over a common denominator so we can add the numerators:

`(2/2 xx 108/11) + (11/11 xx 9/2) => 216/22 + 99/22 =>`

`315/22`

Now, we can convert this improper fraction to a mixed number:

`(308 + 7)/22 => 308/22 + 7/22 => 14 + 7/22 =>`

`14 7/22`