48.72 divided by 8.4

asked by guest
on Oct 20, 2024 at 5:44 am



You asked:

Evaluate the expression: \(\frac{48.72}{8.4}\)

MathBot Answer:

\[\frac{48.72}{8.4} = \frac{29}{5} = 5.8\]


\[\begin{aligned}\frac{48.72}{8.4}& = \left(48 + \frac{72}{100}\right) \cdot \frac{1}{8 + \frac{4}{10}}\\& = \left(48 + \frac{18}{25}\right) \cdot \frac{1}{8 + \frac{4}{10}}\\& = \frac{1218}{25} \cdot \frac{1}{8 + \frac{4}{10}}\\& = \frac{1218}{25} \cdot \frac{1}{8 + \frac{2}{5}}\\& = \frac{1218}{25} \cdot \frac{1}{\frac{42}{5}}\\& = \frac{29}{5}\end{aligned}\]