I am teaching a group of 8 kids on fractions and I did not realize how difficult this can be. These kids were selected by their teachers for needing additional outside help. I really need some advice, it seems that only 1 kid understands me and what is going on whereas the others are confused.
They have troubles doing problems like these:
$\frac{1}{6} + \frac{1}{8} $
$ 2 \frac{1}{2} - 1 \frac{3}{4}$
I've explained them to go 1) find the LCD first and then 2) put the fractions in an equivalent form (i.e. 1/3 = 3/9) and then 3) add or subtract. At first I thought that by breaking it down to these steps the kids would understand but they get confused and forget.
For example $2 \frac{1}{2}$ could be rewritten as $2 \frac{2}{4}$. I then tell them to do the following operation: $2 \frac{2}{4} - 1 \frac{3}{4}$. I tell them that they're really figuring out this: (2 - 1) + ($\frac{2}{4}$ - $\frac{3}{4}$). They get really confused. Then I tell them to look at the fractions for now and ignore the whole number. They still get confused. I am up to my wits end. Not only that but they have trouble with LCM. All they want is to leave the room and not look at fractions. How can I get through these kids?!
Write it as $2 + \frac{1}{2}$ rather than $2 \frac{1}{2}$. This is simpler to understand.
Make sure they understand dividing even numbers by 2, triples by 3 etc. Before trying to use fractions that don't go.
Visualization works well to teach additions e.g. showing 2 circles and another sliced in half.