8.745 x 3.25

asked by guest
on Oct 21, 2024 at 3:56 am



You asked:

Evaluate the expression: \(8.745 \cdot 3.25\)

MathBot Answer:

\[8.745 \cdot 3.25 = \frac{22737}{800} = 28.42125\]


\[\begin{aligned}8.745 \cdot 3.25& = \left(8 + \frac{745}{1000}\right) \cdot \left(3 + \frac{25}{100}\right)\\& = \left(8 + \frac{149}{200}\right) \cdot \left(3 + \frac{25}{100}\right)\\& = \frac{1749}{200} \cdot \left(3 + \frac{25}{100}\right)\\& = \frac{1749}{200} \cdot \left(3 + \frac{1}{4}\right)\\& = \frac{1749}{200} \cdot \frac{13}{4}\\& = \frac{22737}{800}\end{aligned}\]