12.345 รท 6.5

asked by guest
on Sep 22, 2024 at 4:24 pm



You asked:

Evaluate the expression: \(\frac{12.345}{6.5}\)

MathBot Answer:

\[\frac{12.345}{6.5} = \frac{2469}{1300} = 1.89\overline{923076}\]

\[\begin{aligned}\frac{12.345}{6.5}& = \left(12 + \frac{345}{1000}\right) \cdot \frac{1}{6 + \frac{5}{10}}\\& = \left(12 + \frac{69}{200}\right) \cdot \frac{1}{6 + \frac{5}{10}}\\& = \frac{2469}{200} \cdot \frac{1}{6 + \frac{5}{10}}\\& = \frac{2469}{200} \cdot \frac{1}{6 + \frac{1}{2}}\\& = \frac{2469}{200} \cdot \frac{1}{\frac{13}{2}}\\& = \frac{2469}{1300}\end{aligned}\]

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