8.4*9.4

asked by guest
on Jan 20, 2025 at 9:03 pm



You asked:

Evaluate the expression: \(8.4 \cdot 9.4\)

MathBot Answer:

\[8.4 \cdot 9.4 = \frac{1974}{25} = 78.96\]


\[\begin{aligned}8.4 \cdot 9.4& = \left(8 + \frac{4}{10}\right) \cdot \left(9 + \frac{4}{10}\right)\\& = \left(8 + \frac{2}{5}\right) \cdot \left(9 + \frac{4}{10}\right)\\& = \frac{42}{5} \cdot \left(9 + \frac{4}{10}\right)\\& = \frac{42}{5} \cdot \left(9 + \frac{2}{5}\right)\\& = \frac{42}{5} \cdot \frac{47}{5}\\& = \frac{1974}{25}\end{aligned}\]