The greatest common factor (GCF) is the greatest factor that divides two integers.

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 100 meters to kilometers, divide the distance by 1000 to get 0.1km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.1km + 40.4km + 8.7km
total distance = 49.2km

The distributive property for division helps in solving expressions like \({b + c \over a}\). It specifies that the result of dividing a fraction with multiple terms in the numerator and one term in the denominator can be obtained by dividing each term individually and then totaling the results: \({b + c \over a} = {b \over a} + {c \over a}\). For example, \({a^3 + 6a^2 \over a^2} = {a^3 \over a^2} + {6a^2 \over a^2} = a + 6\).

If the tiger has consumed 56 pounds of food in 7 days that's \( \frac{56}{7} \) = 8 pounds of food per day. The tiger needs to consume 80 - 56 = 24 more pounds of food to reach 80 pounds total. At 8 pounds of food per day that's \( \frac{24}{8} \) = 3 more days.

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

\( \frac{3}{7} \) ÷ \( \frac{2}{8} \) = \( \frac{3}{7} \) x \( \frac{8}{2} \)

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

\( \frac{3}{7} \) x \( \frac{8}{2} \) = \( \frac{3 x 8}{7 x 2} \) = \( \frac{24}{14} \) = 1\(\frac{5}{7}\)