Question

How do you simplify `|496/3| + |45/2| + |-9/2|`?

Answer 1

See the entire solution process below:

Explanation:

First, execute the operation for each fraction within the absolute value functions. The absolute value function takes any term and converts it to its positive form:

`abs(496/3) + abs(45/2) + abs(9/2) => 496/3 + 45/2 + 9/2`

Next, we need to put each fraction over a common denominator, `color(red)(6)` in this case so we can add the numerators:

`(2/2 xx 496/3) + (3/3 xx 45/2) + (3/3 xx 9/2) =>`

`992/6 + 135/6 + 27/6`

We can now add the numerators:

`(992 + 135 + 27)/6 => 1154/6`