To divide fractions, invert the second fraction and then multiply:

\( \frac{3}{6} \) ÷ \( \frac{4}{6} \) = \( \frac{3}{6} \) x \( \frac{6}{4} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{3}{6} \) x \( \frac{6}{4} \) = \( \frac{3 x 6}{6 x 4} \) = \( \frac{18}{24} \) = \(\frac{3}{4}\)

48% of the water consumption is industrial use and 23% is personal use so (48% - 23%) = 25% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{25}{100} \) x 20,000 gallons = 5,000 gallons.

The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.

The amount of flour you need is (3\(\frac{1}{8}\) - \(\frac{7}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{25}{8} \) - \( \frac{7}{8} \)) cups
\( \frac{18}{8} \) cups
2\(\frac{1}{4}\) cups

You have 7 out of the total of 100 raffle tickets sold so you have a (\( \frac{7}{100} \)) x 100 = \( \frac{7 \times 100}{100} \) = \( \frac{700}{100} \) = 7% chance to win the raffle.