1142.98 divided by

37.48

asked by guest
on Nov 17, 2024 at 6:44 pm



You asked:

Evaluate the expression: \(\frac{1142.98}{37.48}\)

MathBot Answer:

\[\frac{1142.98}{37.48} = \frac{57149}{1874} \approx 30.4957310565635005336179295624333\]

\[\begin{aligned}\frac{1142.98}{37.48}& = \left(1142 + \frac{98}{100}\right) \cdot \frac{1}{37 + \frac{48}{100}}\\& = \left(1142 + \frac{49}{50}\right) \cdot \frac{1}{37 + \frac{48}{100}}\\& = \frac{57149}{50} \cdot \frac{1}{37 + \frac{48}{100}}\\& = \frac{57149}{50} \cdot \frac{1}{37 + \frac{12}{25}}\\& = \frac{57149}{50} \cdot \frac{1}{\frac{937}{25}}\\& = \frac{57149}{1874}\end{aligned}\]

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