3.75 MULTIPLied 2.25

asked by guest
on Nov 27, 2024 at 6:20 am



You asked:

Evaluate the expression: \(3.75 \cdot 2.25\)

MathBot Answer:

\[3.75 \cdot 2.25 = \frac{135}{16} = 8.4375\]


\[\begin{aligned}3.75 \cdot 2.25& = \left(3 + \frac{75}{100}\right) \cdot \left(2 + \frac{25}{100}\right)\\& = \left(3 + \frac{3}{4}\right) \cdot \left(2 + \frac{25}{100}\right)\\& = \frac{15}{4} \cdot \left(2 + \frac{25}{100}\right)\\& = \frac{15}{4} \cdot \left(2 + \frac{1}{4}\right)\\& = \frac{15}{4} \cdot \frac{9}{4}\\& = \frac{135}{16}\end{aligned}\]