To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 16 are [16, 32, 48, 64, 80, 96]. The first few multiples they share are [16, 32, 48, 64, 80] making 16 the smallest multiple 8 and 16 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{5 x 2}{8 x 2} \) + \( \frac{3 x 1}{16 x 1} \)

\( \frac{10}{16} \) + \( \frac{3}{16} \)

Now, because the fractions share a common denominator, you can add them:

\( \frac{10 + 3}{16} \) = \( \frac{13}{16} \) = \(\frac{13}{16}\)

52% of the water consumption is industrial use and 30% is personal use so (52% - 30%) = 22% more water is used for industrial purposes. 25,000 gallons are consumed daily so industry consumes \( \frac{22}{100} \) x 25,000 gallons = 5,500 gallons.

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 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 40.3km + 6.800000000000001km
total distance = 47.4km

A ratio of 2:1 means that there are 2 home fans for every one visiting fan. So, of every 3 fans, 2 are home fans and \( \frac{2}{3} \) of every fan in the stadium is a home fan:

37,000 fans x \( \frac{2}{3} \) = \( \frac{74000}{3} \) = 24,667 fans.

If the tiger has consumed 54 pounds of food in 6 days that's \( \frac{54}{6} \) = 9 pounds of food per day. The tiger needs to consume 90 - 54 = 36 more pounds of food to reach 90 pounds total. At 9 pounds of food per day that's \( \frac{36}{9} \) = 4 more days.