12.8 x 1.6
You asked:
Evaluate the expression: \(12.8 \cdot 1.6\)
MathBot Answer:
\[12.8 \cdot 1.6 = \frac{512}{25} = 20.48\]
\[\begin{aligned}12.8 \cdot 1.6& = \left(12 + \frac{8}{10}\right) \cdot \left(1 + \frac{6}{10}\right)\\& = \left(12 + \frac{4}{5}\right) \cdot \left(1 + \frac{6}{10}\right)\\& = \frac{64}{5} \cdot \left(1 + \frac{6}{10}\right)\\& = \frac{64}{5} \cdot \left(1 + \frac{3}{5}\right)\\& = \frac{64}{5} \cdot \frac{8}{5}\\& = \frac{512}{25}\end{aligned}\]