Answer:
4 2/15
Step-by-step explanation:
Before you begin to add these mixed numbers, you cannot do that because they have different denominators. So, you first must change the fractions to the same denominator. So, what I do first is just add the whole numbers together first. 2 + 1 = 3. Then, just ignore that number for now. Next, I like to line up the two fractions right next to each other like this:
4/5
3/9
Now, you want a number that you can multiple BOTH fractions by so that they both have the same denominator. You want to try and pick the smallest number that you can. Let's use the number 45, because 5 x 9 = 45, and 9 x 5 = 45. So you are going to multiple the first fraction by 9/9, and the second one by 5/5. The reason being, whatever you do to the numerator, you have to do to the denominator. So, it now looks like this:
4/5 x 9/9 =
3/9 x 5/5 =
Multiply numerator by numerator, denominator by denominator. Now you have this:
36/45
15/45
BUT, you're not done yet. Now you can add the numbers. 36 + 15 = 51. So, your fraction is now 51/45. Now, you usually must simply your answer if you can. Find a number that you can divide 51 and 45 by. Luckily, you can divide both 51 and 45 by 3. 51/3 = 17, and 45/3 = 15. Now you have 17/15. You can no longer simply this number so you can change it into a mixed number, which is 1 2/15. DON'T forget about the 3 that we added earlier! Add the 3 to 1 2/15, which equals 4 2/15. That is your final answer! Sorry for the lengthy answer, and ask any questions you have!
