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

\( \frac{2}{6} \) ÷ \( \frac{2}{9} \) = \( \frac{2}{6} \) x \( \frac{9}{2} \)

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

\( \frac{2}{6} \) x \( \frac{9}{2} \) = \( \frac{2 x 9}{6 x 2} \) = \( \frac{18}{12} \) = 1\(\frac{1}{2}\)

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 fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:

cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4

First, solve for \( \left|a - 7\right| \):

\( \left|a - 7\right| \) + 3 = 2
\( \left|a - 7\right| \) = 2 - 3
\( \left|a - 7\right| \) = -1

The value inside the absolute value brackets can be either positive or negative so (a - 7) must equal - 1 or --1 for \( \left|a - 7\right| \) to equal -1:

So, a = 8 or a = 6.

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.