67.5 x 7.5
You asked:
Evaluate the expression: \(67.5 \cdot 7.5\)
MathBot Answer:
\[67.5 \cdot 7.5 = \frac{2025}{4} = 506.25\]
\[\begin{aligned}67.5 \cdot 7.5& = \left(67 + \frac{5}{10}\right) \cdot \left(7 + \frac{5}{10}\right)\\& = \left(67 + \frac{1}{2}\right) \cdot \left(7 + \frac{5}{10}\right)\\& = \frac{135}{2} \cdot \left(7 + \frac{5}{10}\right)\\& = \frac{135}{2} \cdot \left(7 + \frac{1}{2}\right)\\& = \frac{135}{2} \cdot \frac{15}{2}\\& = \frac{2025}{4}\end{aligned}\]