Solve the Fraction Subtraction: 2/4 - 2/6 Step by Step

Solve the following exercise:

$\frac{2}{4}-\frac{2}{6}=\text{?}$

To solve the problem $\frac{2}{4} - \frac{2}{6}$, let's follow these steps:

• Step 1: Find the least common denominator (LCD) for the fractions. The denominators are 4 and 6, and the LCM of 4 and 6 is 12.
• Step 2: Convert each fraction to an equivalent fraction with a denominator of 12.

First, convert $\frac{2}{4}$:

$\frac{2}{4} = \frac{2 \times 3}{4 \times 3} = \frac{6}{12}$

Next, convert $\frac{2}{6}$:

$\frac{2}{6} = \frac{2 \times 2}{6 \times 2} = \frac{4}{12}$

• Step 3: Subtract the fractions with the common denominator.

$\frac{6}{12} - \frac{4}{12} = \frac{6 - 4}{12} = \frac{2}{12}$

• Step 4: Simplify the result, if possible.

$\frac{2}{12}$ simplifies to $\frac{1}{6}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2.

Therefore, the solution to the problem is $\frac{1}{6}$.