666.76/4.4

asked by guest
on Nov 17, 2024 at 6:29 am



You asked:

Evaluate the expression: \(\frac{666.76}{4.4}\)

MathBot Answer:

\[\frac{666.76}{4.4} = \frac{16669}{110} = 151.5\overline{36}\]


\[\begin{aligned}\frac{666.76}{4.4}& = \left(666 + \frac{76}{100}\right) \cdot \frac{1}{4 + \frac{4}{10}}\\& = \left(666 + \frac{19}{25}\right) \cdot \frac{1}{4 + \frac{4}{10}}\\& = \frac{16669}{25} \cdot \frac{1}{4 + \frac{4}{10}}\\& = \frac{16669}{25} \cdot \frac{1}{4 + \frac{2}{5}}\\& = \frac{16669}{25} \cdot \frac{1}{\frac{22}{5}}\\& = \frac{16669}{110}\end{aligned}\]