95.50 x 2.54

asked by guest
on Oct 21, 2024 at 4:57 pm



You asked:

Evaluate the expression: \(95.50 \cdot 2.54\)

MathBot Answer:

\[95.50 \cdot 2.54 = \frac{24257}{100} = 242.57\]


\[\begin{aligned}95.50 \cdot 2.54& = \left(95 + \frac{5}{10}\right) \cdot \left(2 + \frac{54}{100}\right)\\& = \left(95 + \frac{1}{2}\right) \cdot \left(2 + \frac{54}{100}\right)\\& = \frac{191}{2} \cdot \left(2 + \frac{54}{100}\right)\\& = \frac{191}{2} \cdot \left(2 + \frac{27}{50}\right)\\& = \frac{191}{2} \cdot \frac{127}{50}\\& = \frac{24257}{100}\end{aligned}\]