Solve the Fraction Equation: Finding the Missing Addend in 2/8 + ? = 3/5

To solve this problem, we'll proceed with the following steps:

• Step 1: Simplify the fraction $\frac{2}{8}$.
• Step 2: Determine a common denominator for $\frac{1}{4}$ and $\frac{3}{5}$.
• Step 3: Subtract $\frac{1}{4}$ from $\frac{3}{5}$ with this common denominator.
• Step 4: Simplify the result if necessary.

Now, let's work through each step:

Step 1: Simplify $\frac{2}{8}$ to $\frac{1}{4}$ since both 2 and 8 share a common factor of 2.
Step 2: Calculate the least common denominator (LCD) for $\frac{1}{4}$ and $\frac{3}{5}$.
The LCD of 4 and 5 is 20.
Rewrite $\frac{1}{4}$ as $\frac{5}{20}$ and $\frac{3}{5}$ as $\frac{12}{20}$.

Step 3: Subtract the fractions: $\frac{12}{20} - \frac{5}{20} = \frac{7}{20}$.

Therefore, the missing fraction needed to satisfy the original equation is $\frac{7}{20}$.

Thus, the solution to the problem is $\frac{7}{20}$.