The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [9, 18, 27, 36, 45] making 9 the smallest multiple 3 and 9 have in common.

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

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

\( \frac{1}{8} \) ÷ \( \frac{1}{7} \) = \( \frac{1}{8} \) x \( \frac{7}{1} \)

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

\( \frac{1}{8} \) x \( \frac{7}{1} \) = \( \frac{1 x 7}{8 x 1} \) = \( \frac{7}{8} \) = \(\frac{7}{8}\)

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 + 50.5km + 8.1km
total distance = 58.7km

To add these radicals together their radicands must be the same:

3\( \sqrt{45} \) + 4\( \sqrt{5} \)
3\( \sqrt{9 \times 5} \) + 4\( \sqrt{5} \)
3\( \sqrt{3^2 \times 5} \) + 4\( \sqrt{5} \)
(3)(3)\( \sqrt{5} \) + 4\( \sqrt{5} \)
9\( \sqrt{5} \) + 4\( \sqrt{5} \)

Now that the radicands are identical, you can add them together: