Adding Unlike Fractions: Finding the Sum of 1/4 and 4/8

To solve this problem, we'll follow these steps:

• Step 1: Convert $\frac{1}{4}$ to a fraction with a denominator of 8.
• Step 2: Add the fractions.
• Step 3: Simplify the result.

Now, let's work through each step:

Step 1: Convert $\frac{1}{4}$ to have a denominator of 8. Since $8 \div 4 = 2$, multiply both the numerator and denominator of $\frac{1}{4}$ by 2:

$\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}$

Step 2: Now add $\frac{2}{8}$ and $\frac{4}{8}$:

$\frac{2}{8} + \frac{4}{8} = \frac{2 + 4}{8} = \frac{6}{8}$

Step 3: Simplify $\frac{6}{8}$ if possible. The greatest common divisor of 6 and 8 is 2. So, $\frac{6}{8}$ simplifies to:

$\frac{6 \div 2}{8 \div 2} = \frac{3}{4}$

Therefore, the solution to the problem is $\frac{6}{8}$.