Solve Mixed Number Subtraction: 3 7/15 minus 2 1/5

To solve this problem, we will subtract the mixed numbers $3\frac{7}{15}$ and $2\frac{1}{5}$ by considering their whole number parts and fractions separately.

Step 1: Subtract the Whole Numbers
The whole number part of the first mixed number is 3, and for the second mixed number, it is 2. Subtracting these gives:

$3 - 2 = 1$

Step 2: Subtract the Fractional Parts
The fractional part of the first number is $\frac{7}{15}$, and for the second, it is $\frac{1}{5}$. We need a common denominator to subtract these fractions. The least common denominator for 15 and 5 is 15. Convert $\frac{1}{5}$ to a fraction with denominator 15:

$\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}$

Now, subtract the fractions:

$\frac{7}{15} - \frac{3}{15} = \frac{7 - 3}{15} = \frac{4}{15}$

Step 3: Combine the Whole Number and Fractional Parts
The whole number part is 1, and the fractional part is $\frac{4}{15}$. Combining these gives:

$1\frac{4}{15}$

Thus, the result of the subtraction $3\frac{7}{15} - 2\frac{1}{5}$ is:

$1\frac{4}{15}$

Therefore, the solution to the problem is $1\frac{4}{15}$.