3.8 / 15.96

asked by guest
on Nov 17, 2024 at 6:50 pm



You asked:

Evaluate the expression: \(\frac{3.8}{15.96}\)

MathBot Answer:

\[\frac{3.8}{15.96} = \frac{5}{21} = 0.\overline{238095}\]

\[\begin{aligned}\frac{3.8}{15.96}& = \left(3 + \frac{8}{10}\right) \cdot \frac{1}{15 + \frac{96}{100}}\\& = \left(3 + \frac{4}{5}\right) \cdot \frac{1}{15 + \frac{96}{100}}\\& = \frac{19}{5} \cdot \frac{1}{15 + \frac{96}{100}}\\& = \frac{19}{5} \cdot \frac{1}{15 + \frac{24}{25}}\\& = \frac{19}{5} \cdot \frac{1}{\frac{399}{25}}\\& = \frac{5}{21}\end{aligned}\]

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