18/2*19/3 of 4.3/{13/2+57/8 of 4.28}

asked by guest
on Nov 15, 2024 at 6:36 am



You asked:

Evaluate the expression: \(\frac{18}{2} \cdot \frac{19}{3} \cdot \frac{4.3}{\frac{13}{2} + \frac{57}{8} \cdot 4.28}\)

MathBot Answer:

\[\frac{18}{2} \cdot \frac{19}{3} \cdot \frac{4.3}{\frac{13}{2} + \frac{57}{8} \cdot 4.28} = \frac{49020}{7399} \approx 6.62521962427355047979456683335586\]

\[\begin{aligned}\frac{18}{2} \cdot \frac{19}{3} \cdot \frac{4.3}{\frac{13}{2} + \frac{57}{8} \cdot 4.28}& = \frac{18}{2} \cdot \frac{19}{3} \cdot \left(4 + \frac{3}{10}\right) \cdot \frac{1}{\frac{13}{2} + \frac{57}{8} \cdot \left(4 + \frac{28}{100}\right)}\\& = \frac{18}{2} \cdot \frac{19}{3} \cdot \frac{43}{10} \cdot \frac{1}{\frac{13}{2} + \frac{57}{8} \cdot \left(4 + \frac{28}{100}\right)}\\& = \frac{18}{2} \cdot \frac{19}{3} \cdot \frac{43}{10} \cdot \frac{1}{\frac{13}{2} + \frac{57}{8} \cdot \left(4 + \frac{7}{25}\right)}\\& = \frac{18}{2} \cdot \frac{19}{3} \cdot \frac{43}{10} \cdot \frac{1}{\frac{13}{2} + \frac{57}{8} \cdot \frac{107}{25}}\\& = \frac{18}{2} \cdot \frac{19}{3} \cdot \frac{43}{10} \cdot \frac{1}{\frac{13}{2} + \frac{6099}{200}}\\& = \frac{18}{2} \cdot \frac{19}{3} \cdot \frac{43}{10} \cdot \frac{1}{\frac{7399}{200}}\\& = \frac{18}{2} \cdot \frac{19}{3} \cdot \frac{860}{7399}\\& = 57 \cdot \frac{860}{7399}\\& = \frac{49020}{7399}\end{aligned}\]

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