Solve the Fraction Subtraction: 3/5 minus 6/15 Step-by-Step

To solve $\frac{3}{5} - \frac{6}{15}$, we need both fractions to have the same denominator. We observe that 15 is a multiple of 5, so it is already suitable as a common denominator.

Step 1: Convert
Convert $\frac{3}{5}$ to have a denominator of 15. Multiply both the numerator and the denominator by 3:

$\frac{3}{5} \times \frac{3}{3} = \frac{9}{15}$

Step 2: Subtract the fractions
Now, subtract $\frac{9}{15} - \frac{6}{15}$:

$\frac{9}{15} - \frac{6}{15} = \frac{9 - 6}{15} = \frac{3}{15}$

Step 3: Simplify the result
Simplify $\frac{3}{15}$ by dividing both the numerator and the denominator by 3:

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

Therefore, the solution to the problem is $\frac{1}{5}$.