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
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
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