Robert made a large pancake that weighed 3/4 pound. He ate 7/16 pound of pancake. What fraction of the whole pancake did he eat?

7/4

Step-by-step explanation:

the question already mentioned that he ate 7/4 pound of the pancake

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584