To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80]. The first few multiples they share are [8, 16, 24, 32, 40] making 8 the smallest multiple 2 and 8 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{6 x 4}{2 x 4} \) - \( \frac{3 x 1}{8 x 1} \)

\( \frac{24}{8} \) - \( \frac{3}{8} \)

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

\( \frac{24 - 3}{8} \) = \( \frac{21}{8} \) = 2\(\frac{5}{8}\)

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

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

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

4 + (5 + 2) ÷ 5 x 2 - 3²
P: 4 + (7) ÷ 5 x 2 - 3²
E: 4 + 7 ÷ 5 x 2 - 9
MD: 4 + \( \frac{7}{5} \) x 2 - 9
MD: 4 + \( \frac{14}{5} \) - 9
AS: \( \frac{20}{5} \) + \( \frac{14}{5} \) - 9
AS: \( \frac{34}{5} \) - 9
AS: \( \frac{34 - 45}{5} \)
\( \frac{-11}{5} \)
-2\(\frac{1}{5}\)

The factors of a number are all positive integers that divide evenly into the number. The factors of 32 are 1, 2, 4, 8, 16, 32.