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

\( \frac{3}{6} \) x \( \frac{4}{9} \) = \( \frac{3 x 4}{6 x 9} \) = \( \frac{12}{54} \) = \(\frac{2}{9}\)

The ratio of football cards to baseball cards is 7:2 and the ratio of baseball cards to basketball cards is 7:1. 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 49:14 and the ratio of baseball cards to basketball cards as 14:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 49:14, 14:2 which reduces to 49:2.

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 200 meters to kilometers, divide the distance by 1000 to get 0.2km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.2km + 40.5km + 16.4km
total distance = 57.1km

There are 4 2-passenger taxis available so that's 4 x 2 = 8 total seats. There are 9 people needing transportation leaving 9 - 8 = 1 who will have to find other transportation.

If the tiger has consumed 45 pounds of food in 9 days that's \( \frac{45}{9} \) = 5 pounds of food per day. The tiger needs to consume 60 - 45 = 15 more pounds of food to reach 60 pounds total. At 5 pounds of food per day that's \( \frac{15}{5} \) = 3 more days.