1.65/1.36

asked by guest
on Jan 23, 2025 at 9:54 pm



You asked:

Evaluate the expression: \(\frac{1.65}{1.36}\)

MathBot Answer:

\[\frac{1.65}{1.36} = \frac{165}{136} = 1.213\overline{2352941176470588}\]

\[\begin{aligned}\frac{1.65}{1.36}& = \left(1 + \frac{65}{100}\right) \cdot \frac{1}{1 + \frac{36}{100}}\\& = \left(1 + \frac{13}{20}\right) \cdot \frac{1}{1 + \frac{36}{100}}\\& = \frac{33}{20} \cdot \frac{1}{1 + \frac{36}{100}}\\& = \frac{33}{20} \cdot \frac{1}{1 + \frac{9}{25}}\\& = \frac{33}{20} \cdot \frac{1}{\frac{34}{25}}\\& = \frac{165}{136}\end{aligned}\]

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