1442.98/37.48

asked by guest
on Nov 18, 2024 at 6:48 am



You asked:

Evaluate the expression: \(\frac{1442.98}{37.48}\)

MathBot Answer:

\[\frac{1442.98}{37.48} = \frac{77}{2} = 38.5\]


\[\begin{aligned}\frac{1442.98}{37.48}& = \left(1442 + \frac{98}{100}\right) \cdot \frac{1}{37 + \frac{48}{100}}\\& = \left(1442 + \frac{49}{50}\right) \cdot \frac{1}{37 + \frac{48}{100}}\\& = \frac{72149}{50} \cdot \frac{1}{37 + \frac{48}{100}}\\& = \frac{72149}{50} \cdot \frac{1}{37 + \frac{12}{25}}\\& = \frac{72149}{50} \cdot \frac{1}{\frac{937}{25}}\\& = \frac{77}{2}\end{aligned}\]