To subtract the fractions \( \frac{3}{4} \) and \( \frac{2}{3} \), you first need a common denominator. The least common multiple of 4 and 3 is 12.
Now, convert each fraction:
\[ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \]
\[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \]
Now, you can subtract the two fractions:
\[ \frac{9}{12} - \frac{8}{12} = \frac{9 - 8}{12} = \frac{1}{12} \]
So, \( \frac{3}{4} - \frac{2}{3} = \frac{1}{12} \).
