3.6 x 4.1 + 6.2
You asked:
Evaluate the expression: \(3.6 \cdot 4.1 + 6.2\)
MathBot Answer:
\[3.6 \cdot 4.1 + 6.2 = \frac{524}{25} = 20.96\]
\[\begin{aligned}3.6 \cdot 4.1 + 6.2& = \left(3 + \frac{6}{10}\right) \cdot \left(4 + \frac{1}{10}\right) + 6 + \frac{2}{10}\\& = \left(3 + \frac{3}{5}\right) \cdot \left(4 + \frac{1}{10}\right) + 6 + \frac{2}{10}\\& = \frac{18}{5} \cdot \left(4 + \frac{1}{10}\right) + 6 + \frac{2}{10}\\& = \frac{18}{5} \cdot \frac{41}{10} + 6 + \frac{2}{10}\\& = \frac{369}{25} + 6 + \frac{2}{10}\\& = \frac{369}{25} + 6 + \frac{1}{5}\\& = \frac{519}{25} + \frac{1}{5}\\& = \frac{524}{25}\end{aligned}\]