To solve this question, you can use the algebraic way and that is how I am going to show it out.
Firstly, I will replace the sides with letters. Lets suppose the longer sides are each y and the shorter sides with x. After doing that, multiply x and y together, making the area of the shape: xy. This information will help a lot.
Starting with an easier part to solve, we can take shape 5. The bottom and top side of it is fourth of y because it only covers quarter of the side. The side parts are half of x. Times them together would make an eighth of the area so that should be shape 5's part: an eighth.
Shape 6 is obviously half of shape 5 by the look of it so that should be a sixteenth of the area so that is your answer for that part. Same is to shape 9. This is half of shape 6 visually so that would be 1 out of 32. The next part is shape 10. That is half of shape 9 so that would be a sixty fourth of the area. Already four parts are covered.
Now we can move on to shape 1. By looking, you can see it is quarter of one half of the rectangle so that means the shape one is an eighth of the whole rectangle. The last shape I am going to show is shape 2. This one is straight forward because it is half of shape 1! So that means it is a sixteenth of the total shape.
I am going to stop as you can see,I am running out of pages. I hope you enjoyed my explanation on how to work out the fraction of 6 out of 10 parts.
Thank you!