\frac{1}{2}\times 3.9\times 2.2\times 6
You asked:
Evaluate the expression: \(\frac{1}{2} \cdot 3.9 \cdot 2.2 \cdot 6\)
MathBot Answer:
\[\frac{1}{2} \cdot 3.9 \cdot 2.2 \cdot 6 = \frac{1287}{50} = 25.74\]
\[\begin{aligned}\frac{1}{2} \cdot 3.9 \cdot 2.2 \cdot 6& = \frac{1}{2} \cdot \left(3 + \frac{9}{10}\right) \cdot \left(2 + \frac{2}{10}\right) \cdot 6\\& = \frac{1}{2} \cdot \frac{39}{10} \cdot \left(2 + \frac{2}{10}\right) \cdot 6\\& = \frac{1}{2} \cdot \frac{39}{10} \cdot \left(2 + \frac{1}{5}\right) \cdot 6\\& = \frac{1}{2} \cdot \frac{39}{10} \cdot \frac{11}{5} \cdot 6\\& = \frac{39}{20} \cdot \frac{11}{5} \cdot 6\\& = \frac{429}{100} \cdot 6\\& = \frac{1287}{50}\end{aligned}\]