3.78/2.77

asked by guest
on Nov 27, 2024 at 8:39 pm



You asked:

Evaluate the expression: \(\frac{3.78}{2.77}\)

MathBot Answer:

\[\frac{3.78}{2.77} = \frac{378}{277} = 1.\overline{364620938628158844765342960288808664259927797833935018050541516245487}\]

\[\begin{aligned}\frac{3.78}{2.77}& = \left(3 + \frac{78}{100}\right) \cdot \frac{1}{2 + \frac{77}{100}}\\& = \left(3 + \frac{39}{50}\right) \cdot \frac{1}{2 + \frac{77}{100}}\\& = \frac{189}{50} \cdot \frac{1}{2 + \frac{77}{100}}\\& = \frac{189}{50} \cdot \frac{1}{\frac{277}{100}}\\& = \frac{378}{277}\end{aligned}\]

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