Solve the Fraction Subtraction: 3/4 - 3/6

To solve the subtraction of these two fractions, we follow these steps:

• Step 1: Find the least common multiple (LCM) of the denominators 4 and 6. The LCM of 4 and 6 is 12.
• Step 2: Convert each fraction to have this common denominator:
  • For $\frac{3}{4}$, multiply both the numerator and denominator by 3 to get $\frac{9}{12}$.
  • For $\frac{3}{6}$, multiply both the numerator and denominator by 2 to get $\frac{6}{12}$.
• Step 3: Perform the subtraction: $\frac{9}{12} - \frac{6}{12} = \frac{3}{12}$.
• Step 4: Simplify the fraction $\frac{3}{12}$. The greatest common divisor (GCD) of 3 and 12 is 3. Divide both numerator and denominator by 3 to get $\frac{1}{4}$.

Therefore, the solution to the problem is $\frac{1}{4}$.