Solve Fraction Addition: 1/15 + 2/5 Step-by-Step

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

• Step 1: Determine the least common denominator (LCD) of the fractions.

• Step 2: Convert each fraction to have the common denominator.

• Step 3: Add the numerators and keep the denominator the same.

Now, let's work through each step:

Step 1: The least common denominator of 15 and 5 is 15.

Step 2: Convert the fraction $\frac{2}{5}$ to have the denominator of 15.
To convert $\frac{2}{5}$, we need to multiply both the numerator and the denominator by 3, because ${5 \times 3 = 15}$.
Thus, $\frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15}$.

Step 3: Now, add the fractions $\frac{1}{15}$ and $\frac{6}{15}$.
When adding these fractions, the equation is $\frac{1}{15} + \frac{6}{15} = \frac{1 + 6}{15} = \frac{7}{15}$.

Therefore, the solution to the problem is $\frac{7}{15}$.