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

Solve the following exercise:

$\frac{3}{4}-\frac{3}{6}=\text{?}$

To solve the problem $\frac{3}{4} - \frac{3}{6}$, follow these steps:

Step 1: Identify the denominators: 4 and 6.

Step 2: Find the Least Common Multiple (LCM) of 4 and 6. The LCM of 4 and 6 is 12, as 12 is the smallest number that both 4 and 6 divide into evenly.

Step 3: Convert each fraction to an equivalent fraction with a denominator of 12:
$\frac{3}{4}$ needs to be converted. Multiply both the numerator and denominator by 3 to obtain $\frac{9}{12}$.
$\frac{3}{6}$ also needs conversion. Multiply both the numerator and denominator by 2 to obtain $\frac{6}{12}$.

Step 4: Subtract the fractions:
$\frac{9}{12} - \frac{6}{12} = \frac{3}{12}$.

Step 5: Simplify the resulting fraction if possible.
The fraction $\frac{3}{12}$ can be simplified to $\frac{1}{4}$ by dividing both the numerator and the denominator by their greatest common divisor, 3.

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