8/12 – 4/8 reduced to the lowest terms

Solution:
1. Simplify each fraction individually:
- \frac{8}{12} can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 4:
\frac{8 \div 4}{12 \div 4} = \frac{2}{3}
- \frac{4}{8} can be simplified by dividing the numerator and the denominator by their greatest common divisor, which is 4:
\frac{4 \div 4}{8 \div 4} = \frac{1}{2}

2. Subtract the simplified fractions:
- Find a common denominator for \frac{2}{3} and \frac{1}{2}, which is 6.
- Convert \frac{2}{3} to have a denominator of 6:
\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}
- Convert \frac{1}{2} to have a denominator of 6:
\frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6}
- Perform the subtraction:
\frac{4}{6} - \frac{3}{6} = \frac{4 - 3}{6} = \frac{1}{6}

3. The result is already in its lowest terms.