Answer :

First convert the fractions so they have a common denominator (36)
3/12=9/36   4/9=16/36
Then add the whole numbers (as fractions)
9/36+180/36=189/36
16/36+36/36=52/36

189/36-52/36=137/36
Now Simplify
137/36=3 29/36

3 29/36
facundo3141592

The difference between the two mixed numbers is 3 + 29/36.

How to subtract two mixed numbers?

Here we want to find the difference:

(5 + 3/12) - (1 + 4/9)

First, we group the whole numbers and the fractions to get:

(5 - 1) + (3/12 - 4/9)

Now we need to find a common denominator for the fractions, I will use 36 as a denominator, because:

12*3 = 36

9*4 = 36

Then multiply and divide the first fraction by 3, and multiply and divide the second fraction by 4:

(5 - 1) + ((3/3)*(3/12) - (4/4)*(4/9))

4 + (9/36 - 16/36)

4 - 7/36

Now, the fraction must be positive in a mixed number, then we can rewrite this as:

4 - 7/36 = 3 + 36/36 - 7/36 = 3 + 29/36

Then we can conclude that the solution of the given expression is 3 + 29/36

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149