12.92 divided by 11.96
You asked:
Evaluate the expression: \(\frac{12.92}{11.96}\)
MathBot Answer:
\[\frac{12.92}{11.96} = \frac{323}{299} = 1.\overline{080267558528428093645484949832775919732441471571906354515050167224}\]
\[\begin{aligned}\frac{12.92}{11.96}& = \left(12 + \frac{92}{100}\right) \cdot \frac{1}{11 + \frac{96}{100}}\\& = \left(12 + \frac{23}{25}\right) \cdot \frac{1}{11 + \frac{96}{100}}\\& = \frac{323}{25} \cdot \frac{1}{11 + \frac{96}{100}}\\& = \frac{323}{25} \cdot \frac{1}{11 + \frac{24}{25}}\\& = \frac{323}{25} \cdot \frac{1}{\frac{299}{25}}\\& = \frac{323}{299}\end{aligned}\]