Solve the Fraction Equation: Finding the Missing Number in ? + 1/3 = 2/5

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

• Step 1: Identify the common denominator for $\frac{1}{3}$ and $\frac{2}{5}$.
• Step 2: Rewrite each fraction using this common denominator.
• Step 3: Perform the fraction subtraction.
• Step 4: Simplify the resulting fraction, if needed.

Now, let's work through each step:

Step 1: Find the common denominator.

The denominators of the fractions are 3 and 5. The least common multiple of 3 and 5 is 15.

Step 2: Rewrite each fraction with the common denominator of 15.

$\frac{1}{3} = \frac{5}{15}$, and $\frac{2}{5} = \frac{6}{15}$.

Step 3: Subtract $\frac{5}{15}$ from $\frac{6}{15}$.

$\frac{6}{15} - \frac{5}{15} = \frac{1}{15}$.

Step 4: Simplification.

The fraction $\frac{1}{15}$ is already in its simplest form.

Therefore, the solution to the equation is $\frac{1}{15}$.