Ben sells 7/12 of the pottery he made. Of the remaking pottery, 3/5 are vases and the rest are bowls. What fraction of all the pottery is the unsold bowls?

2/5 of 5/12 = 1/6

14/60

1\5

To find the fraction of unsold bowls, we need to calculate the fraction of all pottery that consists of unsold bowls.

First, let's find the fraction of pottery that Ben sells. According to the problem, Ben sells 7/12 of the pottery he made. So the fraction of pottery sold is 7/12.

Next, let's find the fraction of unsold pottery. Since 7/12 of the pottery is sold, the remaining fraction of unsold pottery is 1 - 7/12. We can find this by subtracting the fraction of sold pottery (7/12) from 1.

1 - 7/12 = (12/12) - (7/12) = 5/12

So, the fraction of unsold pottery is 5/12.

Now, let's find the fraction of the unsold pottery that consists of bowls. According to the problem, of the remaining pottery, 3/5 are vases, which means the remaining fraction of bowls is 1 - 3/5.

1 - 3/5 = (5/5) - (3/5) = 2/5

So, the fraction of unsold pottery that consists of bowls is 2/5.

Therefore, the fraction of all pottery that is the unsold bowls is 2/5.