(11.3-6.28)/4.6

asked by guest
on Sep 25, 2024 at 9:23 am



You asked:

Evaluate the expression: \(\frac{11.3 - 6.28}{4.6}\)

MathBot Answer:

\[\frac{11.3 - 6.28}{4.6} = \frac{251}{230} = 1.0\overline{9130434782608695652173}\]

\[\begin{aligned}\frac{11.3 - 6.28}{4.6}& = \left(11 + \frac{3}{10} - \left(6 + \frac{28}{100}\right)\right) \cdot \frac{1}{4 + \frac{6}{10}}\\& = \left(11 + \frac{3}{10} - \left(6 + \frac{7}{25}\right)\right) \cdot \frac{1}{4 + \frac{6}{10}}\\& = \left(11 + \frac{3}{10} - \frac{157}{25}\right) \cdot \frac{1}{4 + \frac{6}{10}}\\& = \left(\frac{113}{10} - \frac{157}{25}\right) \cdot \frac{1}{4 + \frac{6}{10}}\\& = \frac{251}{50} \cdot \frac{1}{4 + \frac{6}{10}}\\& = \frac{251}{50} \cdot \frac{1}{4 + \frac{3}{5}}\\& = \frac{251}{50} \cdot \frac{1}{\frac{23}{5}}\\& = \frac{251}{230}\end{aligned}\]

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