Add the following fractions. 3/8

Question

+ 1/4
Show your steps. Provide the answer in the form of a fraction. (1 point)

Answer 1

To add the fractions \( \frac{3}{8} \) and \( \frac{1}{4} \), we first need to ensure they have a common denominator.

1. Identify the denominators: The denominators are 8 and 4.

2. Find the least common denominator (LCD): The LCD of 8 and 4 is 8.

3. Convert fractions to have the same denominator:

   • The fraction \( \frac{3}{8} \) already has a denominator of 8.
   • Convert \( \frac{1}{4} \) to have a denominator of 8. To do this, we multiply both the numerator and denominator of \( \frac{1}{4} \) by 2: \[ \frac{1 \times 2}{4 \times 2} = \frac{2}{8} \]

4. Now we can add the two fractions: \[ \frac{3}{8} + \frac{2}{8} = \frac{3 + 2}{8} = \frac{5}{8} \]

5. Conclusion: The sum of \( \frac{3}{8} \) and \( \frac{1}{4} \) is \( \frac{5}{8} \).

Thus, the final answer is: \[ \frac{5}{8} \]