2/5 - 4/6

To subtract the fractions \( \frac{2}{5} \) and \( \frac{4}{6} \), we first need to find a common denominator.

The denominators are 5 and 6. The least common multiple (LCM) of 5 and 6 is 30.

Now, we will convert each fraction to have the common denominator of 30:

1. For \( \frac{2}{5} \): \[ \frac{2}{5} \times \frac{6}{6} = \frac{12}{30} \]

2. For \( \frac{4}{6} \): \[ \frac{4}{6} \times \frac{5}{5} = \frac{20}{30} \]

Now, we can subtract the two fractions: \[ \frac{12}{30} - \frac{20}{30} = \frac{12 - 20}{30} = \frac{-8}{30} \]

We can simplify \( \frac{-8}{30} \): \[ \frac{-8}{30} = \frac{-4}{15} \]

Thus, the result of \( \frac{2}{5} - \frac{4}{6} \) is \( \frac{-4}{15} \).