7.86*4.60

asked by guest
on Jan 14, 2025 at 7:33 am



You asked:

Evaluate the expression: \(7.86 \cdot 4.60\)

MathBot Answer:

\[7.86 \cdot 4.60 = \frac{9039}{250} = 36.156\]


\[\begin{aligned}7.86 \cdot 4.60& = \left(7 + \frac{86}{100}\right) \cdot \left(4 + \frac{6}{10}\right)\\& = \left(7 + \frac{43}{50}\right) \cdot \left(4 + \frac{6}{10}\right)\\& = \frac{393}{50} \cdot \left(4 + \frac{6}{10}\right)\\& = \frac{393}{50} \cdot \left(4 + \frac{3}{5}\right)\\& = \frac{393}{50} \cdot \frac{23}{5}\\& = \frac{9039}{250}\end{aligned}\]