54% of the water consumption is industrial use and 25% is personal use so (54% - 25%) = 29% more water is used for industrial purposes. 20,000 gallons are consumed daily so industry consumes \( \frac{29}{100} \) x 20,000 gallons = 5,800 gallons.

The factors of a number are all positive integers that divide evenly into the number. The factors of 28 are 1, 2, 4, 7, 14, 28.

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The distributive property for multiplication helps in solving expressions like a(b + c). It specifies that the result of multiplying one number by the sum or difference of two numbers can be obtained by multiplying each number individually and then totaling the results: a(b + c) = ab + ac. For example, 4(10-5) = (4 x 10) - (4 x 5) = 40 - 20 = 20.

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:

\( \frac{2 x 2}{8 x 2} \) + \( \frac{6 x 1}{16 x 1} \)

\( \frac{4}{16} \) + \( \frac{6}{16} \)

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

\( \frac{4 + 6}{16} \) = \( \frac{10}{16} \) = \(\frac{5}{8}\)