6.89/1.56
You asked:
Evaluate the expression: \(\frac{6.89}{1.56}\)
MathBot Answer:
\[\frac{6.89}{1.56} = \frac{53}{12} = 4.41\overline{6}\]
\[\begin{aligned}\frac{6.89}{1.56}& = \left(6 + \frac{89}{100}\right) \cdot \frac{1}{1 + \frac{56}{100}}\\& = \frac{689}{100} \cdot \frac{1}{1 + \frac{56}{100}}\\& = \frac{689}{100} \cdot \frac{1}{1 + \frac{14}{25}}\\& = \frac{689}{100} \cdot \frac{1}{\frac{39}{25}}\\& = \frac{53}{12}\end{aligned}\]