Let's solve the subtraction [tex]\(\frac{1}{3} - \frac{1}{6}\)[/tex] step-by-step:
1. Find a common denominator: The denominators of the fractions are 3 and 6. The least common multiple (LCM) of 3 and 6 is 6. This will be our common denominator.
2. Convert each fraction to have the common denominator:
- [tex]\(\frac{1}{3}\)[/tex] needs to be converted to a fraction with a denominator of 6. To do this, multiply both the numerator and the denominator by 2:
[tex]\[
\frac{1}{3} \times \frac{2}{2} = \frac{2}{6}
\][/tex]
- [tex]\(\frac{1}{6}\)[/tex] already has the denominator 6, so it remains the same:
[tex]\[
\frac{1}{6}
\][/tex]
3. Subtract the fractions:
- With the fractions now having the same denominator, we can subtract the numerators:
[tex]\[
\frac{2}{6} - \frac{1}{6} = \frac{2 - 1}{6} = \frac{1}{6}
\][/tex]
Therefore, the result of [tex]\(\frac{1}{3} - \frac{1}{6}\)[/tex] is:
[tex]\[
\frac{1}{6} \approx 0.16666666666666666
\][/tex]
