To find the difference of the fractions [tex]\(\frac{4}{6} - \frac{1}{12}\)[/tex], we will follow these steps:
1. Find a common denominator:
The fractions [tex]\(\frac{4}{6}\)[/tex] and [tex]\(\frac{1}{12}\)[/tex] need to have a common denominator to be subtracted. The least common denominator (LCD) between [tex]\(6\)[/tex] and [tex]\(12\)[/tex] is [tex]\(12\)[/tex].
2. Convert fractions to the common denominator:
[tex]\(\frac{4}{6}\)[/tex] can be converted to a fraction with a denominator of 12. To do that, we multiply the numerator and the denominator by the same number so that the denominator becomes 12.
[tex]\[
\frac{4}{6} = \frac{4 \times 2}{6 \times 2} = \frac{8}{12}
\][/tex]
The fraction [tex]\(\frac{1}{12}\)[/tex] already has the common denominator, so it remains the same.
3. Subtract the fractions:
Now that both fractions have the same denominator, we can subtract the numerators while keeping the denominator constant.
[tex]\[
\frac{8}{12} - \frac{1}{12} = \frac{8 - 1}{12} = \frac{7}{12}
\][/tex]
Thus, the result of [tex]\(\frac{4}{6} - \frac{1}{12}\)[/tex] is [tex]\(\frac{7}{12}\)[/tex].
So, the answer is:
[tex]\[
\boxed{\frac{7}{12}}
\][/tex]
