When Bruce started bowling he won 1/4 of the games he played within six month he was winning 7/16 of his games if he improves at the same ra

First we have to find the fraction of how much more he won over the first six months, then we can add that to 7/16 to find what fraction he wins over the second six-month period.

To find how much better he got over the first six months, subtract 1/4 by 7/16

$$\frac{7}{16}-\frac{1}{4}$$

There's a problem though. We can't subtract these because we don't have a common denominator (or common bottom number. To fix this, multiply tyhe top and bottom of the second fraction by 4.

$$\frac{7}{16}-\frac{1\times4}{4\times4}$$

$$\frac{7}{16}-\frac{4}{16}$$

$$\frac{3}{16}$$

So he got 3/16 better over the first six months. It says if he progresses at the same rate, what is the fraction of his games that he should expect to win? To find this out, we add 3/16 to 7/16.

$$\frac{3}{16}+\frac{7}{16}$$

$$\frac{10}{16}$$

We can reduce this by dividing the top and bottom of this fraction by two, and then we get:

$$\frac{10\div2}{16\div2}$$

$$\frac{5}{8}$$

So he should expect to win 5/8 of his games after the second six-month period.

for just a strait up answer 5/8.