35.76*4.5

asked by guest
on Oct 21, 2024 at 3:51 am



You asked:

Evaluate the expression: \(35.76 \cdot 4.5\)

MathBot Answer:

\[35.76 \cdot 4.5 = \frac{4023}{25} = 160.92\]


\[\begin{aligned}35.76 \cdot 4.5& = \left(35 + \frac{76}{100}\right) \cdot \left(4 + \frac{5}{10}\right)\\& = \left(35 + \frac{19}{25}\right) \cdot \left(4 + \frac{5}{10}\right)\\& = \frac{894}{25} \cdot \left(4 + \frac{5}{10}\right)\\& = \frac{894}{25} \cdot \left(4 + \frac{1}{2}\right)\\& = \frac{894}{25} \cdot \frac{9}{2}\\& = \frac{4023}{25}\end{aligned}\]