187.45×12.4

asked by guest
on Oct 05, 2024 at 4:17 am



You asked:

Evaluate the expression: \(187.45 \cdot 12.4\)

MathBot Answer:

\[187.45 \cdot 12.4 = \frac{116219}{50} = 2324.38\]


\[\begin{aligned}187.45 \cdot 12.4& = \left(187 + \frac{45}{100}\right) \cdot \left(12 + \frac{4}{10}\right)\\& = \left(187 + \frac{9}{20}\right) \cdot \left(12 + \frac{4}{10}\right)\\& = \frac{3749}{20} \cdot \left(12 + \frac{4}{10}\right)\\& = \frac{3749}{20} \cdot \left(12 + \frac{2}{5}\right)\\& = \frac{3749}{20} \cdot \frac{62}{5}\\& = \frac{116219}{50}\end{aligned}\]