(23*4.16)+(10*1.92)

asked by guest
on Nov 26, 2024 at 5:49 am



You asked:

Evaluate the expression: \(23 \cdot 4.16 + 10 \cdot 1.92\)

MathBot Answer:

\[23 \cdot 4.16 + 10 \cdot 1.92 = \frac{2872}{25} = 114.88\]

\[\begin{aligned}23 \cdot 4.16 + 10 \cdot 1.92& = 23 \cdot \left(4 + \frac{16}{100}\right) + 10 \cdot \left(1 + \frac{92}{100}\right)\\& = 23 \cdot \left(4 + \frac{4}{25}\right) + 10 \cdot \left(1 + \frac{92}{100}\right)\\& = 23 \cdot \frac{104}{25} + 10 \cdot \left(1 + \frac{92}{100}\right)\\& = \frac{2392}{25} + 10 \cdot \left(1 + \frac{92}{100}\right)\\& = \frac{2392}{25} + 10 \cdot \left(1 + \frac{23}{25}\right)\\& = \frac{2392}{25} + 10 \cdot \frac{48}{25}\\& = \frac{2392}{25} + \frac{96}{5}\\& = \frac{2872}{25}\end{aligned}\]

+ Submit Question