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

\( \frac{1}{8} \) ÷ \( \frac{4}{8} \) = \( \frac{1}{8} \) x \( \frac{8}{4} \)

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

\( \frac{1}{8} \) x \( \frac{8}{4} \) = \( \frac{1 x 8}{8 x 4} \) = \( \frac{8}{32} \) = \(\frac{1}{4}\)

34% of the water consumption is industrial use and 19% is personal use so (34% - 19%) = 15% more water is used for industrial purposes. 35,000 gallons are consumed daily so industry consumes \( \frac{15}{100} \) x 35,000 gallons = 5,250 gallons.

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (2 + 4) ÷ 3 x 4 - 3²
P: 2 + (6) ÷ 3 x 4 - 3²
E: 2 + 6 ÷ 3 x 4 - 9
MD: 2 + \( \frac{6}{3} \) x 4 - 9
MD: 2 + \( \frac{24}{3} \) - 9
AS: \( \frac{6}{3} \) + \( \frac{24}{3} \) - 9
AS: \( \frac{30}{3} \) - 9
AS: \( \frac{30 - 27}{3} \)
\( \frac{3}{3} \)
1

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 400 meters to kilometers, divide the distance by 1000 to get 0.4km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.4km + 50.2km + 15.0km
total distance = 65.6km

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{14\sqrt{16}}{7\sqrt{4}} \)
\( \frac{14}{7} \) \( \sqrt{\frac{16}{4}} \)
2 \( \sqrt{4} \)