Final answer:
To find the fraction of shape c that is shaded, we can use the concept of equivalent ratios. By setting up ratios comparing the shaded parts of shape a and shape b to shape c, we can find that 21/35 of shape c is shaded.
Step-by-step explanation:
To find the fraction of shape c that is shaded, we need to compare it to shapes a and b. We know that 3/5 of shape a is shaded and 7/9 of shape b is shaded. To determine the fraction of shape c that is shaded, we can use the concept of equivalent ratios. If 3/5 of shape a is shaded, we can set up the ratio 3/5 = x/1, where x represents the fraction of shape c that is shaded. Similarly, if 7/9 of shape b is shaded, we can set up the ratio 7/9 = x/1. We can then solve for x by cross multiplying and find that x = 3/5 = 21/35. Therefore, 21/35 of shape c is shaded.