Daniel collects baseball cards and keeps them in a special binder. Each page holds 9 baseball cards ina 3x3 array. The first page is ⁴/9 full. The second page is ⅓ full. If Daniel put all the cards into just one page, what fraction of that page would be full? Use numbers, labeled sketches, or words to model and solve the problem.

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wagonbelleville wagonbelleville · Answer 1 · 2019-01-17T10:44:51+01:00

Answer:

[tex]\frac{7}{9}[/tex] full i.e. 77% is full.

Step-by-step explanation:

It is given that the there are total 9 cards in 3 × 3 array.

Also,

First page is [tex]\frac{4}{9}[/tex] full i.e. out of 9 cards, there are total 4 cards on this page.

Second page is [tex]\frac{1}{3}[/tex] i.e. [tex]\frac{3}{9}[/tex] full i.e. out of 9 cards, there are total 3 cards on this page.

Now, it is given that Daniel put all the cards on one page.

i.e. This new page is [tex]\frac{4}{9}[/tex] + [tex]\frac{3}{9}[/tex] = [tex]\frac{7}{9}[/tex] full.

i.e. Out of 9 cards, there are 7 cards on this new page.

So, this page is [tex]\frac{7}{9}[/tex] full i.e. 0.77 area is full i.e. 77% is full.