Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Click on an item at the bottom of the problem. Click again to drop each statement in the appropriate spot in the flow chart for adding fractions.

Answer 1

Let's say we want to add 1/2 and 1/3. Since they both have different denominators, first we find the LCD:

`\text{LCD}(2,3)=2\cdot3=6`

Now that we have the LCD, we express the fractions with a common denominator:

`(1)/(2)+(1)/(3)=(3)/(6)+(2)/(6)`

Now that we have both fractions with the same denominator, we can add directly the numerators and keep the denominator:

`(3)/(6)+(2)/(6)=(5)/(6)`

We have that 1/2+1/3=5/6. Since 5/6 can't be reduced anymore, we have found the result.

To summarize, the algorithm to solve addition of fraction would be like this: