6.89 divided by 1.56

asked by guest
on Sep 19, 2024 at 10:40 pm



You asked:

Evaluate the expression: \(\frac{6.89}{1.56}\)

MathBot Answer:

\[\frac{6.89}{1.56} = \frac{53}{12} = 4.41\overline{6}\]

\[\begin{aligned}\frac{6.89}{1.56}& = \left(6 + \frac{89}{100}\right) \cdot \frac{1}{1 + \frac{56}{100}}\\& = \frac{689}{100} \cdot \frac{1}{1 + \frac{56}{100}}\\& = \frac{689}{100} \cdot \frac{1}{1 + \frac{14}{25}}\\& = \frac{689}{100} \cdot \frac{1}{\frac{39}{25}}\\& = \frac{53}{12}\end{aligned}\]

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