Solve the Fraction Addition: 2/4 + 2/6 Step-by-Step

To solve the fraction addition problem $\frac{2}{4} + \frac{2}{6}$, follow these steps:

• Step 1: Identify the least common denominator (LCD) of the fractions. The denominators are 4 and 6. The factors of 4 are 2 and 2, and the factors of 6 are 2 and 3. The LCD is the smallest number that both denominators divide into, which is 12.

• Step 2: Convert each fraction to an equivalent fraction with the denominator of 12.

• Step 3: For $\frac{2}{4}$:

  • Find the equivalent fraction: Multiply both the numerator and denominator by 3 (since 4 * 3 = 12).

  • The equivalent fraction is $\frac{2 \times 3}{4 \times 3} = \frac{6}{12}$.

• Step 4: For $\frac{2}{6}$:

  • Find the equivalent fraction: Multiply both the numerator and denominator by 2 (since 6 * 2 = 12).

  • The equivalent fraction is $\frac{2 \times 2}{6 \times 2} = \frac{4}{12}$.

• Step 5: Add the new fractions: $\frac{6}{12} + \frac{4}{12} = \frac{10}{12}$.

Therefore, the sum of the fractions is $\boxed{\frac{10}{12}}$.