Let's add fractions with different denominators. We'll start with this problem. What's 16 + 1/3? The shape is divided into/ third, sixth, and 12ths.
We have 1/3 shaded here and 16th shaded here. Since 1/3 is the same size as 2 sixths, we can add 2 + 1 to get 36s.
Let's look at another one. 3 12ths + 1 16th. Since the shape is divided the same way, we can see this is 1 16th.
Next, each of these triangles is 112th.
Since 1 16th is the same size as 2 12ths, we can add 2 + 3 to get 5 12ths.
To combine parts into one fraction, all the parts have to be the same size.
We make equivalent fractions using a common denominator. For 3 12ths and 1/3, 12 is a common denominator. To change/ third into 12ths, we multiply the denominator by 4. We also multiply the numerator by 4. So 1/3 becomes 4 12ths.
Once both fractions have the same denominator, we can add them. 3 12ths + 4 12ths = 7 12ths. Let's try it out.
Here we have 3/10 + 2 fths. We can change two fths into 10th. We multiply 5 by 2 to get 10. So we multiply 2 by 2 on top. That gives us 4/10. Now we're adding 3/10 + 4/10 which equals 7/10.
Here's another one. 114 40ths + 1/4. We need to change 4ths into 40ths. To get from 4 to 40, we multiply by 10. So, we multiply 1 by 10 as well. That gives us 10 40ths. Now, we can add 114ths + 104ths = 214ths.
Let's find 1/2 + 3/8. We can turn 1/2 into 8. We multiply the denominator by 4 to get 8. So we multiply the numerator by 4 as well. 1/2 = 4/8.
Now we can find the sum. 4/8 + 3/8 = 7/8.
We used equivalent fractions to turn an addition problem with differentiz denominators into an addition problem with same size denominators. We can do this to add any fraction.
