(4/5×2/6)÷1/5×1/1

To solve the expression \((\frac{4}{5} \times \frac{2}{6}) \div \frac{1}{5} \times \frac{1}{1}\), we will follow the order of operations:

1. **Calculate \(\frac{4}{5} \times \frac{2}{6}\):**
\[
\frac{4 \times 2}{5 \times 6} = \frac{8}{30}
\]
This can be simplified by dividing both the numerator and the denominator by 2:
\[
\frac{8 \div 2}{30 \div 2} = \frac{4}{15}
\]

2. **Now, we need to divide this result by \(\frac{1}{5}\):**
\[
\frac{4}{15} \div \frac{1}{5} = \frac{4}{15} \times \frac{5}{1}
\]
We can multiply:
\[
= \frac{4 \times 5}{15 \times 1} = \frac{20}{15}
\]
This can be simplified by dividing both the numerator and the denominator by 5:
\[
\frac{20 \div 5}{15 \div 5} = \frac{4}{3}
\]

3. **Finally, we multiply by \(\frac{1}{1}\):**
\[
\frac{4}{3} \times \frac{1}{1} = \frac{4}{3}
\]

So, the final result is \(\frac{4}{3}\).