144/9+(15*8-46)+[120/(6*7+18)]

asked by guest
on Sep 20, 2024 at 2:43 am



You asked:

Evaluate the expression: \(\frac{144}{9} + 15 \cdot 8 - 46 + \frac{120}{6 \cdot 7 + 18}\)

MathBot Answer:

\[\frac{144}{9} + 15 \cdot 8 - 46 + \frac{120}{6 \cdot 7 + 18} = 92\]

\[\begin{aligned}\frac{144}{9} + 15 \cdot 8 - 46 + \frac{120}{6 \cdot 7 + 18}& = \frac{144}{9} + 15 \cdot 8 - 46 + 120 \cdot \frac{1}{6 \cdot 7 + 18}\\& = \frac{144}{9} + 120 - 46 + 120 \cdot \frac{1}{6 \cdot 7 + 18}\\& = \frac{144}{9} + 120 - 46 + 120 \cdot \frac{1}{42 + 18}\\& = \frac{144}{9} + 120 - 46 + \frac{120}{60}\\& = \frac{144}{9} + 120 - 46 + 2\\& = 136 - 46 + 2\\& = 90 + 2\\& = 92\end{aligned}\]

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